How do you simplify: Square root of 1/16?

1 Answer
Jul 23, 2015

Answer:

#1/4#

Explanation:

#sqrt{1/16}=1/4# since #(1/4)^2=1^2/4^2=1/16#

In general, given #a>0#, the symbol #sqrt{a}# represents the unique positive number whose square is #a#: #(sqrt{a})^2=a#. Proving that it exists and is unique is very difficult, in general, however. It requires a class called "real analysis".