# What is the square root of 80?

##### 2 Answers

May 10, 2018

#### Explanation:

By the properties of square roots:

#sqrt(80) = sqrt(4 xx 20)#

#color(white)(sqrt(80)) = sqrt(4 xx 4 xx 5)#

#color(white)(sqrt(80)) = 4sqrt5#

An approximate decimal answer is 8.944.

May 10, 2018

#### Explanation:

Given:

Prime factorize

Group the same prime factors in pairs.

Rewrite each pair in exponent form.

Apply rule: