Simplifying Nth Root Expressions

Which is equivalent to ∛54 in simplest form?

• 3∛6

• 9∛2

• 3∛2

• 3∛3

Which is equivalent to ∛375 in simplest form?

• 3∛5

• 5∛25

• 3∛125

• 5∛3

∛729

• 9

• 243

• 81

• 11

Simplify completely:

• 
• 
• 
• Cannot be simplified.

Simplify completely:

• 
• 
• 
• cannot be simplified

∛81

• Simplified

• 3∛3

• 9

• 27∛3

Select all that are necessary when simplifying radicals

• The index must be as small as possible.

• The radicand contains no factors that are nth powers.

• The radicand contains no fractions

• No radicals appear in the denominator

What is the process in which one eliminates radicals from the denominator or fractions from radicands.

• Rationalizing the denominator

• Conjugates

• The Principal Root

• Combining Like Expressions

Simplify the following:

• A

• B

• C

• D

Simplify the following:

• A

• B

• C

• D