Simplify Square Root Expressions

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

Simplify the radical expression

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Simplify:

• 2√12

• 4√12

• 4√3

• 16√3

Simplify:

• A

• B

• C

• D

Simplify.

• 4√30

• √4√30

• √2√30

• 2√30

Simplify. 

• 5x⁸y¹⁰√10x

• 5x⁴y⁵√10x

• 5x⁴y⁵√2x

• 5√2x⁹y¹⁰

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.

Rationalize the denominator of the expression. Assume the variable represents a positive real number.

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Simplify:

• 5x√2

• 100x√2

• 10x√2

• 10√2x