How do you simplify -4sqrt(192x)?

1 Answer
Apr 15, 2018

The answer is -32sqrt(3x).

Explanation:

Note: when the variables a, b, and c are used, I am referring to a general rule that will work for every real value of a, b, or c.

Since sqrt(a*b)=sqrt(a)*sqrt(b), you can rewrite this:

-4sqrt(192x) -> -4sqrt(64)*sqrt(3x).

sqrt(64) is equal to 8, so:

-4sqrt(64)*sqrt(3x) -> -4*8*sqrt(3x) -> -32sqrt(3x), your final answer.

Hope this helps!