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…
Author: Tesla Educator
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…
Indian Mathematics: How To Write A Magic Square?
A magic square is a square of numbers where each row, column, and diagonal gives the same sum. A n x n magic square has…
Olympiad Corner: A Quadrilateral With Some Congruent Triangles
A quadrilateral ABCD is given. The midpoint of side AB is equidistant from three other sides of the quadrilateral. Prove that the square of AB…
Olympiad Corner: What Is The Sum Of The Corner Entries?
In a 4 x 4 array of 16 numbers, the sum of the numbers in each row, column, and diagonal is 1. Find the sum…