Simplifying Square Roots – Step by Step

From Math Queen. In this math video I (Susanne) explain how to partially simplify square roots. Partially simplifying a square root involves rewriting it in a form where a perfect square factor has been extracted from inside the radical. This results in a simplified expression with a coefficient outside the radical and a smaller number…

Can YOU do it? – Solve the equation!

From Math Queen. In this math video I (Susanne) explain how to solve the equation with x to the power of x. We compare both sides and find a different expression for the power by applying a rule how to deal with a product in the exponent. Mathematics explained. 00:00 Intro – Solve for x…

Hidden numbers – Can you find them?

From Math Queen. In this math video I (Susanne) explain how to solve the question from a maths competition. We have to find integers, so that the equation is fulfilled. We use a system of equations to solve this riddle. Mathematics explained. 00:00 Intro – Maths Competition 0:38 Solution 5:29 System of Equations 4:34 See…

New maths discoveries! All announced at once!

From Standup Mathematician. Read the Google DeepMind paper about AlphaEvolve here: https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms/AlphaEvolve.pdf And this is their blog post about the findings: https://deepmind.google/discover/blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms and if you really want to get into the details, this Collab should be live soon: https://colab.research.google.com/github/google-deepmind/alphaevolve_results/blob/master/mathematical_results.ipynb Erich Friedman’s Packing Center: https://erich-friedman.github.io/packing/index.html Here are the full-res versions of my circle packing visualisations: https://www.dropbox.com/scl/fi/ctncamft9hn19kutb000c/new_26_circles.png?rlkey=63stdka5e5mnw4i5zkui229pa&dl=0…

Calculus: Find the derivative! – Fraction, Quotient rule

From Math Queen. In this math video I (Susanne) explain how to find the derivative of a quotient of two functions. We use the quotient rule in Calculus to differentiate the fractional function. Mathematics explained. 00:00 Intro – Quotient rule 0:16 Example 1 7:00 Example 2 11:36 See you later! *My German Math Channel:* ​⁠…

How fast can YOU solve this equation?

From Math Queen. In this math video I (Susanne) explain how to solve the equation for x. We use two methods to solve the polynomial equation by making a case distinction and by factoring. Mathematics explained. 00:00 Intro – Solve the equation 1:09 First method 6:13 Second method 10:40 See you later! *My German Math…

Are YOU smart enough to get into Cambridge?

From Math Queen. In this math video I (Susanne) explain how to solve the exponential equation of the admission test for the Cambridge university. We simplify the equation and use substitution to solve this entrance exam question. Mathematics explained. 00:00 Intro – Cambridge Admission Test 1:02 Solve the equation 7:56 Substitution 13:42 Quadratic equation 17:11…

Summer of Math Exposition #4 | Teachers, I’d love to hear from you

From 3Blue1Brown. Make a math explainer, get feedback, and receive prizes: https://some.3b1b.co Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. —————— These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim…

Dividing mixed numbers – Math tutorial

From Math Queen. In this math video I (Susanne) explain how to divide mixed fractions. We convert the mixed numbers into improper fractions and divide by multiplying with the reciprocal. Mathematics explained. 00:00 Intro – Mixed numbers 0:11 Example 1 5:15 Example 2 8:03 Example 3 10:16 See you later! *My German Math Channel:* ​⁠…

We can fix UK currency with a £1.75 coin

From Standup Mathematician. Check out Bambu Lab printers here: https://shrsl.com/2p2du-2yn7-1cwx9 #bambulab #bambulabA1 #makerworld #bambustudio #bambulabp1s #bambulabX1c #bambulabs #3Dprinting Here are the print files for Andreas Müller’s Dodeclace – the Dodecahedron necklace. https://makerworld.com/en/models/1300677-dodeclace-the-dodecahedron-necklace#profileId-1332937 And Adam Luter’s design for Industrious Dice. https://www.printables.com/model/1112817-rhombic-tricontahedron-industrious-15-sided-dice (More about the maths here: https://mathenchant.wordpress.com/2024/10/17/industrious-dice/ ) Huge thanks to Adam Townsend for all his…

Is it possible to find the area? – Geometry Puzzle

From Math Queen. In this math video I (Susanne) explain how to find the area of the rectangle. We use the tangent to the semicircle and the Pythagorean Theorem to solve this Geometry problem. Mathematics explained. 00:00 Intro – Math puzzle 0:58 Area rectangle 4:04 Pythagoras 7:39 See you later! *My German Math Channel:* ​⁠…

Find the Angle between two Vectors

From Math Queen. In this math video I (Susanne) explain how to find the angle between two vectors. We use the formula with the cosine and solve for alpha. Mathematics explained. 00:00 Intro – Angle vectors 0:14 Example 1 5:22 Example 2 7:52 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me on…

Can YOU solve this riddle? – Math puzzle

From Math Queen. In this math video I (Susanne) explain how to solve this riddle about the age of the mother and the daughter. A mother is now three times as old as her daughter. In 5 years, she will be five times as old as her daughter was 5 years ago. We use a…

Cardioids in Coffee Cups – Numberphile

From Numberphile. Featuring Ben Sparks… Check out the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Footnote 1: https://youtu.be/8tqGQ22nnTA Footnote 2: https://youtu.be/tKA7TqhBhnQ Patreon extra: https://www.patreon.com/posts/126871802 SparksMaths accompanying video: https://youtu.be/tV4zlEpd7lM Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane…

Oxford Admission Test – Where is the corner?

From Math Queen. In this math video I (Susanne) explain how to solve the question from the Admission test of the Oxford University. We have to find the corner of the square and use vectors to find them. Mathematics explained. 00:00 Intro – Admission test 0:25 Solution 1:45 Finding C 6:11 Finding D 9:32 Finding…

Simplify the fraction! – With variables

From Math Queen. In this math video I (Susanne) explain how to simplify fractions with variables. We find a common denominator and subtract the fractions and simplify the expression by factorising. Mathematics explained. 00:00 Intro – Simplify 0:09 Example 1 6:11 Example 2 10:44 Example 3 20:28 See you later! *My German Math Channel:* ​⁠…

The Tea Lady Experiment – Numberphile

From Numberphile. Po-Ling Loh discusses hypothesis testing and a famous experiment involving cups of tea. More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk Professor Loh’s Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Our podcast with Professor Loh: https://www.youtube.com/watch?v=XCZIYtMi5s4 Professor Loh’s webpage at the University of Cambridge: https://www.dpmms.cam.ac.uk/person/pll28 Patreon: http://www.patreon.com/numberphile Numberphile is…

Area between two curves – Calculus, Integrals

From Math Queen. In this math video I (Susanne) explain how to find the area between two curves in calculus. We calculate the intersection points and solve the integral. Mathematics explained. 00:00 Intro – Area between curves 0:55 Intersection points 3:21 Integral 6:54 Solving Integrals 11:02 See you later! *My German Math Channel:* ​⁠ @MathemaTrick…

The World’s LONGEST Klein Bottle – Numberphile

From Numberphile. Cliff Stoll and Lucas Clarke stretch a Klein Bottle to record lengths. More links & stuff in full description below ↓↓↓ In memory of Cliff’s wife, Pat. The movie poster: https://www.patreon.com/posts/126424202 (for Patrons) More videos on our Klein Bottle playlist: http://bit.ly/KleinBottles Cliff Stoll playlist: http://bit.ly/Cliff_Videos Lucas Clarke blows glass at Simon Fraser University:…

Can you solve this Geometry Puzzle?

From Math Queen. In this math video I (Susanne) explain how to find the area of this geometric figure, that consists of circles, semi-circles and quarter circles. We calculate the area by finding the area of the square first and subtracting the area of the circles. Mathematics explained. 00:00 Intro – Math puzzle 0:18 Solution…

Explaining the Trump Tariff Equation

From Standup Mathematician. Read the equation details for yourself: https://ustr.gov/issue-areas/reciprocal-tariff-calculations Full list of countries and their 2024 import/export values: https://ustr.gov/countries-regions Footage of the Trump announcement from Liberation Day is from the PBS live broadcast. https://www.youtube.com/watch?v=oIDN0Yf8Z28&ab_channel=PBSNewsHour Presidential debate footage from ABC news. https://www.youtube.com/watch?v=4dOgWZsDB6Q&ab_channel=ABCNews NZ-USA import and export data from here: https://tradingeconomics.com/united-states/imports/new-zealand https://tradingeconomics.com/united-states/exports/new-zealand "Mathiness" https://en.wikipedia.org/wiki/Mathiness Yes, that…

How fast are you? – Solving fractional equations

From Math Queen. In this math video I (Susanne) explain how to solve the fractional equation for x. We take a look at the domain and use two different methods. Mathematics explained. 00:00 Intro – Equation 0:11 Method 1 3:22 Method 2 4:44 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me on…

10th grade in Germany – Math problem Triangle

From Math Queen. In this math video I (Susanne) explain how to solve the math problem about a right triangle. We use the Pythagorean theorem and solve the system of equations. Mathematics explained. 00:00 Intro – Geometry 0:23 Triangle 3:28 Solve the equation 5:58 Quadratic Formula 10:36 See you later! *My German Math Channel:* ​⁠…

Convert a fraction to percent – Math tutorial

From Math Queen. In this math video I (Susanne) explain how to convert fractions to percents. We write the fraction with a denominator of 100 and get the percentage from the numerator. Mathematics explained. 00:00 Intro – Fractions 0:12 Example 1 0:56 Example 2 1:52 Example 3 2:21 Example 4 4:02 Example 5 4:58 Example…

How to find the tangent line – Function, Calculus

From Math Queen. In this math video I (Susanne) explain how to find the equation of the tangent line of the function at the point P. We use the derivative to find the slope of the line. Mathematics explained. 00:00 Intro – Tagent Line 1:15 Coordinates of P 3:02 Slope of the line 6:22 Finding…

The Hyper Moser (and other Mega Numbers) – Numberphile

From Numberphile. Tony Padilla explores the Mega and Moser. Check out the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Extra video from this interview on Numberphile2: https://youtu.be/ADwK4BgwzP8 Big numbers playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Graham’s Number playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKZEG7KVg6HfdN2uWFLIB5q Tony Padilla is a professor at the University of…

We calculated pi with colliding blocks

From Standup Mathematician. Happy Pi Day 2025 everyone! Check out Grant’s new 3blue1brown video: https://youtu.be/6dTyOl1fmDo?si=k0az9B4pEOnRXbIh Oh look, it’s Steve’s excellent channel: https://www.youtube.com/stevemould Sign up for future pi-by-hand videos: https://forms.gle/w44THpNJ3jWUPqHy6 Massive thanks to Hugh Hunt and everyone in the University of Cambridge Department of Engineering, particularly the legends in the workshop. https://www.eng.cam.ac.uk/profiles/hemh1 Huge thanks to my…

There’s more to those colliding blocks that compute pi

From 3Blue1Brown. Two colliding blocks compute pi, here we dig into the physics to explain why Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf Adam Brown’s paper on the analogy with…

Exponential equations – How to solve them!

From Math Queen. In this math video I (Susanne) explain how to solve exponential equations. We use the logarithm to solve for x and get x out of the exponent. Mathematics explained. 00:00 Intro – Exponential equations 0:12 Example 1 5:17 Example 2 9:40 Example 3 13:00 See you later! *My German Math Channel:* ​⁠…

Can YOU find the number? – Math Puzzle

From Math Queen. In this math video I (Susanne) explain how to find the number ABCD, that is multiplied by 4 gives us DCBA. We use long multiplication to solve this problem and think about the carry during multiplication. Mathematics explained. 00:00 Intro – Math puzzle 0:30 Multiplication by 4 2:00 Finding A 4:24 Finding…

Mathematicians finally find the infinite card game.

From Standup Mathematician. More details about Jane Street’s AMP: https://jane-st.co/SUM-AMP25 Support me on Patreon and join in whatever thing I do next. https://www.patreon.com/standupmaths Please help me thank Mithuna for enduring all of that. Go check out her excellent physics channel: https://www.youtube.com/@LookingGlassUniverse Here is the main paper: A Non-Terminating Game of Beggar-My-Neighbor https://arxiv.org/abs/2403.13855 Huge thanks to…

A 1.58-Dimensional Object – Numberphile

From Numberphile. Featuring Ben Sparks on all sorts of fractals, Sierpiński triangles, and other amazing stuff including imaginary cubes… Extra from this interview at https://youtu.be/Yz06NW6DwsE — More links & stuff in full description below ↓↓↓ Some bonus stuff from this video just for Patrons: https://www.patreon.com/posts/123766224 Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist In…

Can you solve this equation? – With parameter

From Math Queen. In this math video I (Susanne) explain how to solve the linear equation with the parameter a for x. We make a case distinction and find the solution. Mathematics explained. 00:00 Intro – Parameter 0:43 Linear equation 3:59 Case distinction 5:24 2nd case 7:03 See you later! *My German Math Channel:* ​⁠…

Golf balls: how many holes in one?

From Standup Mathematician. Get your metal wall plates here! https://displate.com/@standup Use discount code STANDUP for: 1 or 2 Displates = 26% off, ≥3 Displates = 30% off (normal plates only, not Limited Editon, Lumino, Textra) Thanks to Henry Segerman and the Dice Lab for talking dimples and spheres: https://www.youtube.com/@UC4zzTEL5tuIgGMvzjk1Ozbg Check out The Dice Lab: https://www.mathartfun.com/DiceLabDice.html…

The cosmic distance ladder with Terence Tao, part 2

From 3Blue1Brown. How we know the distances to the planets, stars, and faraway galaxies. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support FAQ with added details and corrections: https://terrytao.wordpress.com/2025/02/13/cosmic-distance-ladder-video-with-grant-sanderson-3blue1brown-commentary-and-corrections/ An equally valuable form of support is to simply share the videos. Terry and his collaborator Tanya have an Instagram about…

MATH QUIZ – Basics 10th Grade

From Math Queen. In this math video I (Susanne) explain how to solve the 10th Grade test about the basics of maths. We answer the questions without a calculator. Mathematics explained. 00:00 Intro – Math Test 0:15 Question 1 0:56 Question 2 2:16 Question 3 3:51 Question 4 5:02 Question 5 5:44 Question 6 7:09…

Can you solve THIS equation? – Domain and Solution Set

From Math Queen. In this math video I (Susanne) explain how to find the domain and solution set of the equation with a square root. We square and solve the quadratic equation by using factorization. Mathematics explained. 00:00 Intro – Solving equations 0:18 Domain 2:28 Solve the equation 6:09 Factorising equations 9:14 Solution Set 11:10…

Can YOU find the area? – Geometry puzzle

From Math Queen. In this math video I (Susanne) explain how to find the area of this Geometry puzzle. We use similar triangles to calculate the product of the sides of the rectangle. Mathematics explained. 00:00 Intro – Math puzzle 0:34 Area Rectangle 2:09 Similar Triangles 6:06 See you later! *My German Math Channel:* ​⁠…

How Did Water Solve the 1800-Year-Old Talmudic Bankruptcy Problem?

From Mathologer. Today we are solving an ancient bankruptcy puzzle from the Talmud using the principle of communicating vessels. A very nice visual way of making sense of an otherwise tricky problem. "Game theoretic analysis of a bankruptcy problem from the Talmud" by Robert J Aumann and Michael Maschler https://www.sciencedirect.com/science/article/pii/0022053185901024 " ‘Hydraulic’ rationing" by Marek…

Can I 3D print a minimal infinite surface?

From Standup Mathematician. Check out the fantastic range of Bambu Labs 3D printers: https://bit.ly/SUM-bambu #bambulab #bambulabA1 #bambulabp1s #bambulabs Dan Piker on Mathstodon: https://mathstodon.xyz/@Danpiker/112858419960150896 Print file of Dan’s gyroid. It is a snug fit, maybe add a few extra percent. From: https://mathstodon.xyz/@Danpiker/112859215840044255 Previous pencil video: Costa surface print file I used by osj1961 (Joe Fields) https://www.thingiverse.com/thing:2882581…