Rationalize the denominator and simplify completely. $$\frac { 11 } { \sqrt [ 3 ] { 36 } }$$
A) 66
B) 11
C) $\frac { 11 \sqrt [ 3 ] { 6 } } { 6 }$
D) $11 \sqrt [ 3 ] { 6 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator of $\frac{11}{\sqrt[3]{36}}$, we multiply both the numerator and the denominator by $\sqrt[3]{6^2}$ because $36 \times 6^2 = 6^3$, which gives us a rational denominator. Simplifying, we get $\frac{11\sqrt[3]{6^2}}{6} = \frac{11\sqrt[3]{6}}{6}$.

Rationalize the Denominator and Simplify Completely 11363\frac { 11 } { \sqrt [ 3 ] { 36 } }336​11​

Rationalize the Denominator and Simplify Completely $\frac { 11 } { \sqrt [ 3 ] { 36 } }$