Vibhanshu 22nd Apr, 2021

Squares and square roots both concepts are opposite in nature to each other. Squares are the numbers, generated after multiplying a value by itself. Whereas square root (https://byjus.com/maths/square-root/) of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

If n is a number then its square is represented by n raised to the power 2, i.e., n ² and its square root is expressed as ‘√n’, where ‘√’ is called radical. The value under the root symbol is said to be radicand.

The square numbers are widely explained in terms of area of a square shape. The shape of a square is such that it has all its sides equal. Therefore, area of square (https://byjus.com/maths/area-of-square/) is equal to (side x side) or side ² . Hence, if the side length of the square is 3cm then its area is 3 ² = 9 sq.cm.