What is the square root of 10 times the square root of 40?

1 Answer
May 9, 2018

Answer:

The answer is precisely 20.

Explanation:

One of the properties of square roots is

#sqrt a xx sqrt b = sqrt (axxb)#

as long as #a# and #b# are non-negative real numbers.

So:

#sqrt 10 xx sqrt 40 = sqrt(10 xx 40)#
#color(white)(sqrt 10 xx sqrt 40) = sqrt(400)#
#color(white)(sqrt 10 xx sqrt 40) = 20#

since #20^2 = 400#.