AnswersFL-1200330-Algebra 2 CRMultiplying Radicals

Dividing Radicals Answers

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The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write as a single radical? Explain.

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Answer:

The expression can be written as a single radical. Rewrite the radicals as rational exponents: y^(3/4) / y^(1/2) = y^(3/4 - 1/2) = y^(1/4), which is the fourth root of y.

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Did your explanation include the following?

A
The radicands are powers of the same base, so they can be written using rational exponents.
B
Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.
C
The simplified expression is the 4th root of y.
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What is the simplest form of ?

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What is in exponential form?

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Dividing Radicals Answers — FL-1200330-Algebra 2…