Hardest maths questions - solve equation involving cube roots @THaWoM

The How and Why of Mathematics | Hardest maths questions - solve equation involving cube roots @THaWoM | Uploaded 5 years ago | Updated 3 hours ago
This was a question from the 1988 Australian Mathematics Competition senior division (for students around 17 years old) and only 3% got it right. It's a question about solving an equation involving cube and square roots, and is surprisingly linked with the history of complex numbers!

You can buy past AMC exam booklets at https://shop.amt.edu.au/collections/amc-resources

Maths exam walkthrough/solutions: 2016 HSC Mathematics Extension 2 part4/7

Long division maths puzzle - fill in the boxes

Making of: refactorisation, solids of integration, and computer graphics in future videos

Maths exam walkthrough/solutions: 2016 HSC Mathematics Extension 2 part2/7

JEE advanced maths 2018 - the parts I struggled with

2018 NSW HSC Mathematics Extension 2 exam Q13

$Hardest maths questions - refactorisation and prime numbers Express 8×9×10×11×12×13×14 as another product of consecutive whole numbers. How can we factorise a number without calculating it? This question from the AMC junior division was answered correctly by 0% of students! To solve it, Ill show you how composite numbers can be pulled apart into their prime factors and recombined in new ways, which is a trick I use in a lot of different situations (mental arithmetic, finding an LCM when adding fractions or doing elimination, factorising quadratics, etc.). You can buy past AMC exam booklets at https://shop.amt.edu.au/collections/amc-resources See the full junior playlist here: https://www.youtube.com/watch?v=QDnT4evo-5w&list=PLkNbGj38zTLMfJ7ThxPWKAzLQP6XrD1zz&index=2 I also have videos on senior AMC questions: https://www.youtube.com/watch?v=JoVB72-KSk4&list=PLkNbGj38zTLOO9aODJVznsquLhi1WeyFo&index=2$

Maths exam walkthrough/solutions: 2016 HSC Mathematics Extension 2 part1/7

2018 NSW HSC Mathematics Extension 2 exam Q12