Evaluate the square root of 60 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 60 in radical form

We will find the square root of 60 by prime factorisation method

The prime factorisation of 60 can be written as:

The first step is to divide the number 60 with the smallest prime factor,i.e. 2.
60 ÷ 2 = 30

Now, will dib=vide 30 by 2
30 ÷ 2 = 15

Now, dividing 15 by 3 we get,
15 ÷ 3 = 5

Again, dividing 5 by 3 will give a fraction number. Therefore, taking the next prime number, 5, into consideration.
5 ÷ 5 = 1

We have received 1 at the end and further,

So, the prime factorisation of 60 is 2 × 2 × 3 × 5

On paring we get

60 = (2 x 2) x 3 x 5

Square root of 60 = √60= √(2 x 2) x 3 x 5

= √60= 2√15

√60= 2√15

Answer

Hence, the square root of 60 = √60=2√15

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