Rationalize the denominator and simplify. $\frac { 4 } { \sqrt [ 4 ] { 4 } }$
A) $\sqrt [ 4 ] { 164 }$
B) $\sqrt [ 5 ] { 65 }$
C) $\sqrt [ 4 ] { 67 }$
D) $\quad \sqrt [ 4 ] { 64 }$
E) $\sqrt [ 8 ] { 64 }$

Question

Quizplus · Accepted Answer

We can simplify the denominator first by writing $\sqrt [ 4 ] { 4 }$ as $2$, since $2^4 = 4$. Then we have $\frac{4}{2} = 2$, which simplifies to $\sqrt [ 4 ] { 16 }$. Since $\sqrt [ 4 ] { 16 } = 2$, the answer is $\boxed{	ext{(D)}}$.

Rationalize the Denominator and Simplify 444\frac { 4 } { \sqrt [ 4 ] { 4 } }44​4​

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