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Dividing Radicals

Question 1 of 2 • PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024

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

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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