What is the square root of 1 over 25

This is easier than it may appear.

To find the square root of a fraction, you simply have to find the square root of the numerator and denominator separately.

In this problem, that just means finding the square root of 1 and the square root of 25.

√1 = 1 since 1•1=1

√25 = 5 since 5•5=25.

So the square root of 1/25 is 1/5.

Checking your work you can multiply 1/5 by 1/5 to be sure.

1/5 • 1/5 = 1/25 so that confirms this is the correct answer.