Square root of 25

As the square root of a number r is denoted as √r, we write √25 to express the square root of 25. Before we find the square root of 25, let us first note down a few key things:

Square Root of 25 by Prime Factorization

The prime factorization method is a very popular method to find the square root of a number. At first, we will factorize $25.$ As the number $25$ has unit digit $5,$ it will be divisible $5.$ So we have $25=5\times 5.$ Note that $5$ is a prime number, so we cannot factorize further. So finally we obtain the prime factorization of $25$ which is

$$25=5\times 5.$$

Taking square root on both sides, we get that

$\sqrt{25}=\sqrt{5\times 5}$

$=5$  $[\because \sqrt{a\times a}=a]$

So the square root of $25$ is $5.$

 

Is Square Root of 25 Rational?

A rational number has the form p/q where both p and q are integers and q is non-zero. As $\sqrt{25}=\pm 5$ and the numbers $+5$ and $-5$ are rational numbers, we conclude that the square root of $25$ is a rational number.

 

Is 25 a Perfect Square Number?

Since the square root of $25$ is $5$ and the number $5$ is a whole number, we conclude that:

$25$ is a perfect square number.