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. $\frac { \sqrt [ 4 ] { 2 } } { \sqrt { 6 } }$

A) $\frac { \sqrt [ 4 ] { 72 } } { 6 }$
B) $\frac { \sqrt [ 5 ] { 72 } } { 6 }$
C) $\frac { \sqrt [ 4 ] { 72 } } { 8 }$
D) $\frac { \sqrt [ 4 ] { 72 } } { 2 }$