# Olympiad Corner: A Problem On Inequalities

It is time to indulge in some Olympiad math! Let us look into one inequality problem.

Do you have a mathematical question to ask? Do you need assistance to get some concepts right? Do you want to learn more? Approach us with your queries and we would be happy to help!

## 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…

## Olympiad Corner: A Problem on Triangular Inequality

If a, b, a are the sides of a triangle with perimeter 2, show that a^2 + b^2 + c^2 + 2abc is less than…

## Olympiad Corner: AM GM Inequality

Arithmetic mean is greater than or equal to Geometric mean. That is called AM – GM inequality. Here is a nice problem to show how…

## Olympiad Corner: Summing Up A Series

We have a series: tan(1)tan(2) + tan(2)tan(3) + … + tan(2019)tan(2020). What is its value? Here is a summation problem involving trigonometric functions. Do you…

## Olympiad Corner: An Expression Under The Square Root

Find the product of four consecutive numbers. Add 1 to this product. Extract the square root of this expression. What is the value? How to…