Rationalize the denominator and simplify. 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) $\frac { 5 \sqrt { 6 x } } { 6 x }$
C) $\frac { 5 \sqrt [ 3 ] { x } } { x }$
D) $\frac { 5 \sqrt [ 3 ] { 6 x } } { 6 x }$

Question

Quizplus · Accepted Answer

To rationalize the denominator of $\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }$, we multiply both the numerator and the denominator by $\sqrt [ 3 ] { 6x }$ to get $\frac { 5 \sqrt [ 3 ] { 6x } } { 6x }$. This eliminates the cube root in the denominator, simplifying the expression.

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

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