We Can Often Multiply and Divide Radicals with Different Indexes $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$

Multiple Choice

We can often multiply and divide radicals with different indexes.For example: $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$
Use this idea to write the following expression as a single radical.
$\frac { \sqrt [ 6 ] { 4 } } { \sqrt { 5 } }$

A) $\quad \frac { \sqrt [ 6 ] { 500 } } { 9 }$
B) $\frac { \sqrt [ 6 ] { 500 } } { 5 }$
C) $\frac { \sqrt [ 6 ] { 500 } } { 4 }$
D) $\frac { \sqrt [ 7 ] { 500 } } { 5 }$