Square root of 16 – Value and calculation 

We know that the value of square roots of perfect square numbers is very easy to find. 16 is also a perfect square number with 4 as its square root. The square root of 16 is expressed or represented as √16 in the radical form in mathematics. The value of √16 is a composite number, 4. 

Value of the square root of 16

In mathematics, it is not hard to square a number since the calculation is simple. However, the square root of a number is difficult to identify since the original squared number comes into the picture. You must now identify the original number multiplied by itself in order to obtain the square root. For instance, the square roots of 16 are +4 and -4. In this article, we will only consider the positive value of the square root of 16.

But, how do we calculate this? 

We calculate the value of root 16 by prime factorisation.

How to find the value of the square root of 16 by prime factorisation?

To find the value of √16 by prime factorisation, follow the steps mentioned below:

1. First, calculate the prime factors of 16 and write them down.
   16 = 2 x 2 x 2 x 2 
2. Group these prime factors in a pair of two factors each.
   16 =2² x 2² 
3. Add a square root on both sides
   √16 = √(2² x 2²)
   √16 = √(2 x 2)²
   √16 = (2 x 2)^{2 x ½}
   √16 = 4

Table of the square root of numbers from 1 to 100

Knowing the value of square roots from 1 to 100 will come in handy while solving mathematical equations. The table below gives the value of square roots from 1 to 100 (up to 3 decimal places for non-perfect squares).