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

Apr 15, 2018

The answer is $- 32 \sqrt{3 x}$.

#### 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 $\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$, you can rewrite this:

$- 4 \sqrt{192 x} \to - 4 \sqrt{64} \cdot \sqrt{3 x}$.

$\sqrt{64}$ is equal to $8$, so:

$- 4 \sqrt{64} \cdot \sqrt{3 x} \to - 4 \cdot 8 \cdot \sqrt{3 x} \to - 32 \sqrt{3 x}$, your final answer.

Hope this helps!