Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
-$\sqrt [ 4 ] { \frac { 16 } { 125 } }$
A) $\frac { 2 \sqrt [ 4 ] { 5 } } { 5 }$
B) $\frac { 2 \sqrt { 125 } } { 125 }$
C) $\frac { 2 \sqrt { 125 } } { 5 }$
D) $\frac { 2 \sqrt { 5 } } { 5 }$

Question

Quizplus · Accepted Answer

The fourth root of 16 is 2, and the fourth root of 125 is 5, so the expression simplifies to $\frac{2}{\sqrt[4]{5}}$, which is equivalent to option A, $\frac{2\sqrt[4]{5}}{5}$.

Rationalize the Denominator and Simplify 161254\sqrt [ 4 ] { \frac { 16 } { 125 } }412516​​

Rationalize the Denominator and Simplify $\sqrt [ 4 ] { \frac { 16 } { 125 } }$