Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
-$\sqrt [ 3 ] { \frac { 4 } { 9 x ^ { 2 } } }$
A) $\frac { \sqrt [ 3 ] { 324 x ^ { 2 } } } { 9 x }$
B) $\frac { \sqrt [ 3 ] { 324 x } } { 81 }$
C) $\frac { \sqrt [ 3 ] { 36 x } } { 9 x }$
D) $\frac { \sqrt [ 3 ] { 12 x } } { 3 x }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply by $\sqrt[3]{x}$ to get $\frac{\sqrt[3]{4x}}{\sqrt[3]{9x^3}}$, which simplifies to $\frac{\sqrt[3]{4x}}{3x}$.

Rationalize the Denominator and Simplify 49x23\sqrt [ 3 ] { \frac { 4 } { 9 x ^ { 2 } } }39x24​​

Rationalize the Denominator and Simplify $\sqrt [ 3 ] { \frac { 4 } { 9 x ^ { 2 } } }$