Simplify the expression. Assume all variables represent positive real numbers.
-$2 \sqrt [ 3 ] { 27 x } + 2 \sqrt [ 3 ] { 8 x }$
A) $2 \sqrt [ 3 ] { 35 x }$
B) $10 \sqrt [ 3 ] { x }$
C) $5 \sqrt [ 3 ] { x }$
D)10x

Question

Quizplus · Accepted Answer

First, simplify the cube roots: $ \sqrt[3]{27x} = 3\sqrt[3]{x} $ and $ \sqrt[3]{8x} = 2\sqrt[3]{x} $. Then, $2(3\sqrt[3]{x}) + 2(2\sqrt[3]{x}) = 6\sqrt[3]{x} + 4\sqrt[3]{x} = 10\sqrt[3]{x}$.

Simplify the Expression 227x3+28x32 \sqrt [ 3 ] { 27 x } + 2 \sqrt [ 3 ] { 8 x }2327x​+238x​

Simplify the Expression $2 \sqrt [ 3 ] { 27 x } + 2 \sqrt [ 3 ] { 8 x }$