Choose the one alternative that best completes the statement or answers the question.
Simplify. Assume that all variables represent positive real numbers.
-$6 \sqrt[4]{m^{9} p^{6}}-2 m^{2} p \sqrt[4]{m p^{2}}$
A) 4
B) $4 m^{2} p \sqrt[4]{m p^{2}}$
C) Cannot be simplified
D) $8 m p^{2} \sqrt[4]{m p^{2}}$

Question

Quizplus · Accepted Answer

First, factor out the common term from both parts of the expression, which is $2 m^{2} p \sqrt[4]{m p^{2}}$. The first term becomes $3 \sqrt[4]{m^{5} p^{2}} = 3 m \sqrt[4]{m p^{2}}$ and the second term is as it is, leading to the simplification $4 m^{2} p \sqrt[4]{m p^{2}}$.

Choose the One Alternative That Best Completes the Statement or Answers