Simplify the expression. Assume all variables represent positive real numbers.
-$4 \sqrt [ 3 ] { a } + \sqrt [ 3 ] { 64 a }$
A) $16 \sqrt [ 3 ] { a }$
B) $8 \sqrt [ 3 ] { \mathrm { a } }$
C) $4 \sqrt [ 3 ] { a } + \sqrt [ 3 ] { 64 a }$
D) $5 \sqrt [ 3 ] { 64 a }$

Question

Quizplus · Accepted Answer

The expression can be simplified by factoring out the cube root: $4 \sqrt[3]{a} + \sqrt[3]{64a} = 4 \sqrt[3]{a} + \sqrt[3]{64} \cdot \sqrt[3]{a} = 4 \sqrt[3]{a} + 4 \sqrt[3]{a} = 8 \sqrt[3]{a}$.

Simplify the Expression 4a3+64a34 \sqrt [ 3 ] { a } + \sqrt [ 3 ] { 64 a }43a​+364a​

Simplify the Expression $4 \sqrt [ 3 ] { a } + \sqrt [ 3 ] { 64 a }$