Rationalize the denominator and simplify. $\frac { 3 } { \sqrt [ 5 ] { 3 } }$
A) $\sqrt [ 6 ] { 82 }$
B) $\sqrt [ 5 ] { 181 }$
C) $\quad \sqrt [ 5 ] { 84 }$
D) $\sqrt [ 10 ] { 81 }$
E) $\sqrt [ 5 ] { 81 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator $\frac { 3 } { \sqrt [ 5 ] { 3 } }$, you can multiply both the numerator and the denominator by $\sqrt [ 5 ] { 3^4 }$ to get $\frac { 3\sqrt [ 5 ] { 3^4 } } { \sqrt [ 5 ] { 3^5 } }$. Simplifying this gives $\frac { 3\sqrt [ 5 ] { 81 } } { 3 }$, which further simplifies to $\sqrt [ 5 ] { 81 }$.

Rationalize the Denominator and Simplify 335\frac { 3 } { \sqrt [ 5 ] { 3 } }53​3​

Rationalize the Denominator and Simplify $\frac { 3 } { \sqrt [ 5 ] { 3 } }$