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11.2C. Dividing Square Roots. Quotient property The square root of a quotient equals the quotient of the square roots of the numerator and denominator. Example 1: Simplify. a). =. b). =. c). =. d). =. e). =. f). =. g). =. h). =. Example 2: Simplify. a). =. b). =. c). =.
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11.2C Dividing Square Roots
Quotient property The square root of a quotient equals the quotient of the square roots of the numerator and denominator.
Example 1: Simplify. a) =
b) =
c) =
d) =
e) =
f) =
g) =
h) =
Example 2: Simplify a) =
b) =
c) =
d) =
Simplified radicals are those with no perfect squares or fractions under the radical sign.
a) =
b) =
c) =
d) =
Rationalizing the Denominator: Fractions can't have a square root in the denominator, so multiply by the denominator to give it a partner.
Example 5: Simplify the expression by rationalizing the denominator.
e) =