Question

Find the real square roots of each number. 1/96

Answer 1

The square root of (1/96) is the same as the square root of 1 divided by the square root of 96. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

`(√(1))/(√(96) )` ≈
`(1)/(9.798)` ≈ 0.1021

Alternatively, we first divide 1 by 96 and then do the square root of the quotient:

`√(1/96)` ≈
`√(0.0104)` ≈ 0.1021

To calculate the square root of 1 divided by 96, you first take the square root of 1 and then divide that result by 96:

`(√(1))/(96) = (1)/(96)` ≈ 0.0104