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The Quotient Rule for Simplifying Square Roots

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State

The quotient rule for simplifying square roots splits the root of a quotient into a quotient of roots: √(a/b) = √a / √b for nonnegative a and positive b.

Show

√(25/4) equals √25 / √4 = 5/2.

Watch for

The denominator under the radical must stay positive.

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