Rationalize the denominator. Assume that all variables represent positive real numbers.
-$\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }$
A) $\frac { 5 \sqrt [ 3 ] { 36 x ^ { 2 } } } { 36 x ^ { 2 } }$
B) $\frac { 5 \sqrt [ 3 ] { x } } { x }$
C) $\frac { 5 \sqrt [ 3 ] { 6 x } } { 6 x }$
D) $\frac { 5 \sqrt { 6 x } } { 6 x }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, you multiply the numerator and the denominator by the cube root that will make the denominator a perfect cube. In this case, multiplying by $\sqrt[3]{6x}$ achieves this, resulting in option C.

Rationalize the Denominator 536x23\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }336x2​5​

Rationalize the Denominator $\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }$