Simplifying Radicals and Rationalizing the Denominator

The process of simplifying a radical expression by removing the radical from the

denominator is called __________.

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

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

Only _____________________________ can be combined when adding and subtracting radicals.

• Like radical expressions

• Unlike radical expressions

• radicals with the same index

• radicals with different indexes.

Simplify the following radical: 2√24

• 4√6

• 2√6

• 24√2

• 4√4

• A
• B
• C
• D

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