Perform the indicated operation. Simplify, if possible. $3 x \sqrt [ 4 ] { 96 x } - 4 \sqrt [ 4 ] { 486 x ^ { 5 } }$
A) $6 x \sqrt [ 4 ] { 6 x }$
B) $- 6 x \sqrt [ 4 ] { 6 x }$
C) $12 x \sqrt [ 4 ] { 6 x }$
D) $- 3 x ^ { 4 } \sqrt { 6 x }$

Question

Quizplus · Accepted Answer

First, simplify each term: $3x \sqrt[4]{96x} = 3x \cdot 2 \sqrt[4]{6x} = 6x \sqrt[4]{6x}$ and $4 \sqrt[4]{486x^5} = 4 \cdot 3x \sqrt[4]{6x} = 12x \sqrt[4]{6x}$. Subtracting gives $6x \sqrt[4]{6x} - 12x \sqrt[4]{6x} = -6x \sqrt[4]{6x}$.

Perform the Indicated Operation 3x96x4−4486x543 x \sqrt [ 4 ] { 96 x } - 4 \sqrt [ 4 ] { 486 x ^ { 5 } }3x496x​−44486x5​

Perform the Indicated Operation $3 x \sqrt [ 4 ] { 96 x } - 4 \sqrt [ 4 ] { 486 x ^ { 5 } }$