Find the square root of 90 in radical form

We have to find the square root of 90 in radical form

Solution

First we have to find the prime factorisation of 90

The number 90 is a composite number. Now, the prime factors of 90 can be found as shown below:

Divide 90 by 2
90 ÷ 2 = 45

Divide 45 by3
45 ÷ 3 = 15

Divide 15 by 3

15 ÷ 3 = 5

Divide 5 by 5

5 ÷ 5 = 1

Therefore, we cannot continue with the division method further.
So, the prime factors of 90 are 2 × 3 × 3 × 5

On paring we get

90 = (3 X 3 ) (2 X 5)

√90 = √(3 X 3 ) (2 X 5)

√90 = 3 √10

Answer

The square root of 90 = 3√10

√90 = 3√10

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