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

##### 1 Answer

May 9, 2018

The answer is precisely 20.

#### Explanation:

One of the properties of square roots is

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

as long as

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