How do you find the square root of 85?

We have to find the square root of 85

Solution

To find the square root of 85 we will factorise it first

Prime factorisation of 85

Here we have to find the prime factors of 85.

Divide 85 by 5;

85 ÷ 5 = 17

Divide 17 by 17

17 ÷ 17 =1

By prime factorisation method, we will get,

85 = (17 x 5)

√85=√ (17 x 5)

We know that √17 = 4.123 and √5= 2.2360

√85 = 4.123 X 2.2360= 9.2190

Answer

Hence The square root of 85 is 9.2190

Hence, √85 = 9.2190