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 121

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

• A) \( \sqrt[6]{81} \)
• B) \( \sqrt[6]{3} \)
• C) \( \sqrt{243} \)
• D) \( \sqrt[3]{243} \)
• E) \( \sqrt[6]{243} \)

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