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

question 53

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) \(\frac { \sqrt [ 4 ] { 72 } } { 2 }\)

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