Question

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

Answer 1

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!