Combining Simplifying Radicals

√45

• 3√5

• 5√3

• 9√5

• 5√9

√200

• 10√2

• 2√10

• 50√2

• 2√50

√96

• 16√6

• 6√16

• 9√6

• 4√6

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.

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:

• A

• B

• C

• D

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

Explain why the radical expression is or is NOT in simplified form?

• The expression is simplified because the radicand contains no fractions

• The expression is simplified because the radicand has no​ perfect-square factors other than 1.

• The expression is not in simplified form because a radical appears in the denominator of a fraction.

• The expression is not simplified because it contains a fraction.

Simplify:

• 2√12

• 4√12

• 4√3

• 16√3