Question

How to find square root?

Answer 1

Explain a method to find square root.

A number’s square root is a value which on multiplication by itself, gives the original number. If $x$ is the square root of $y$, then it is represented as

$$\begin{gathered} x=\sqrt{y} \\ \Rightarrow x^2=y \end{gathered}$$

There are various methods to find the square root of any number. Here, we will discuss the Prime Factorization method.

For example, let's find the square root of $1296$.

Using Prime Factorization method,

So, the square root of $1296=\sqrt{1296}=36$.

Hence, prime factorization method can be used to find the square root of a number.