Question

I WILL GIVE BRAINLIEST!!

Answer 1

Answer:

$\text{D. The terms may be combined.}$

Step-by-step explanation:

Recall that $\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$. Using this, we can simplify and combine the two terms:

$6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}$. Therefore, the terms may be combined.