The Square Root Of 2 Is Irrational. And Here Is The Simplest Proof!
The square root of 2 is irrational. That means there exists no fraction equivalent to the exact value of root 2. We can establish this…
Category: School Maths
A Problem on AM GM Inequality
If a + b + c + d = 3s and all numbers are positive, show that (abcd)/81 is greater than or equal to the…
Five Parts Problem: Part 3
A square is divided into five parts of various lengths. Each part is a rectangle of same area. Width of one such rectangle is 2…
Five Parts Problem: Part 2
A square is divided into five parts of various lengths. Each part is a rectangle of same area. Width of one such rectangle is 2…
Five Parts Problem: Part 1
A square is divided into five parts of various lengths. Each part is a rectangle of same area. The width of one such rectangle is…
The Magic Of 1089
Take a 3 digit number. Let’s say: 375. Reverse it. The reverse of 375 is 573. Find the difference (Larger number – Smaller number). 573…
A Series That Totals 100? Impossible!
Use digits 0 to 9 (or 1 to 9), each once and only once, to make a total of 100. You might have played this…
How Mathematicians Get Results?
The sum of three angles of any triangle is 180 degrees. There are infinitely many prime numbers. We cannot find integers x, y and z…
Did Indians Know That Theorem Before Pythagoras?
Is it possible to draw a square whose area is equal to the sum of the areas of two squares? Similarly, is it possible to…
Pythagoras Theorem: A Politician’s Approach
The Pythagorean Theorem has been proved many times, and probably will be proven many more times. But only one proof was made by a United…