Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 40

$2xy\sqrt[3]{7y^2}$

Work Step by Step

Using the properties of radicals, the given expression, $\sqrt[3]{56x^3y^5} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{8x^3y^3\cdot7y^2} \\\\= \sqrt[3]{(2xy)^3\cdot7y^2} \\\\= 2xy\sqrt[3]{7y^2} .\end{array} Note that all of the variables are assumed to represent non-negative real numbers.

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