What is the square root of 80?

2 Answers
May 10, 2018

Answer:

#sqrt(80)=4sqrt5#
#color(white)(sqrt(80))~~8.944#

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

Answer:

#sqrt80=color(blue)(4sqrt5#

Explanation:

Given:

#sqrt80#

Prime factorize #80#.

#sqrt(2xx2xx2xx2xx5)#

Group the same prime factors in pairs.

#sqrt((2xx2)xx(2xx2)xx5)#

Rewrite each pair in exponent form.

#sqrt(2^2xx2^2xx5)#

Apply rule: #sqrt(a^2)=a#

#2xx2sqrt5#

#4sqrt5#