Question

What is the square root of 1/169?

Answer 1

1/13

Explanation:

Treat a fraction like it's two separate numbers when doing work with exponents:

`sqrt(1/169)=sqrt(1)/sqrt(169)`

The square root of 1 is 1, so we only need to worry about the square root of the denominator. Luckily, 169 is a perfect square of 13 `(13^2=169 hArr sqrt(169)=13)`:

`1/sqrt(169)=1/13`