# How do you simplify #sqrt(300x^2)#?

##### 1 Answer

Aug 28, 2016

For any Real value of

#sqrt(300x^2) = 10sqrt(3)abs(x)#

If we know that

#10sqrt(3)x#

#### Explanation:

Note that for any non-zero value of

The expression

Hence:

So we find:

#sqrt(300x^2) = sqrt(10^2*3*x^2) = sqrt(10^2)*sqrt(3)*sqrt(x^2) = 10sqrt(3)abs(x)#

If we know that