Rationalize the denominator and simplify completely. $\sqrt [ 4 ] { \frac { 81 } { 2 } }$
A) $\frac { 3 \sqrt [ 4 ] { 8 } } { 2 }$
B) $\frac { 9 \sqrt [ 4 ] { 2 } } { 2 }$
C) $\frac { 9 \sqrt [ 4 ] { 8 } } { 2 }$
D) $\frac { 3 \sqrt [ 4 ] { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

$\sqrt[4]{\frac{81}{2}}$ simplifies to $\frac{3\sqrt[4]{2^3}}{2}$ because $\sqrt[4]{81} = 3$ and $\sqrt[4]{2}$ remains under the fourth root, making the expression $\frac{3\sqrt[4]{8}}{2}$.

Rationalize the Denominator and Simplify Completely 8124\sqrt [ 4 ] { \frac { 81 } { 2 } }4281​​

Rationalize the Denominator and Simplify Completely $\sqrt [ 4 ] { \frac { 81 } { 2 } }$