Simplify Radicals

Simplify:

• 5x√2

• 100x√2

• 10x√2

• 10√2x

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 the radical expression

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Simplify.

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Simplify.

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Simplify

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We must___________ all radical expressions BEFORE attempting to identify "like radicals."

• add the radicands

• simplify

• combine all coefficients

• combine the index

• II only
• II and III
• I and III
• All of These

• A
• B
• C
• D