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
