Evaluate the square root of 84 in radical form

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two.

Finding the square root of 84 in radical form

We will find the square root of 84 by prime factorisation method

The prime factorisation of 84 can be written as:

divide the number 84 with the smallest prime factor, i.e. 2.
84 ÷ 2 = 42

Again, divide 42 by 2.

42 ÷ 2 = 21

will divide 21 by 3
21 ÷ 3 = 7

Dividing 7 by 7 we get,
7 ÷ 7 = 1

So, the prime factorisation of 84 is 2 × 2 × 3 × 7

Square root of 84 = √84= √(2 x 2) x 3 x 7

= √84= 2√21

√84= 2√21

Answer

Hence, the square root of 84 = √84=2√21

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