What is the square root of 1/169?

1 Answer
Mar 15, 2018

Answer:

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#