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 109

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.
$\sqrt { 5 } \sqrt [ 3 ] { 5 }$

• A) \(\sqrt [ 3 ] { 3125 }\)
• B) \(\sqrt [ 6 ] { 5 }\)
• C) \(\sqrt [ 6 ] { 3125 }\)
• D) \(\sqrt { 3125 }\)
• E) \(\sqrt [ 6 ] { 625 }\)

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