Simplify Square Roots

Simplifying Square Roots

Explanation and practice for simplifying radical expressions.

​Option 1:
Factor using perfect squares

​Option 1:
Use perfect square as a factor

Simplify Square Root by Biggest Perfect Square (youtube.com)

​Option 2:
Use prime factor pairs

Simplify Square Root by Prime Factorization (youtube.com)

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Simplify √45

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Simplify √150

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Simplify √108

​Square roots with variables

Even powers are perfect squares.

Drop odd power down 1 to get a perfect square variable factor.

Square Roots and Variables (youtube.com)

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Simplify √80p³

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Simplify √50m²n