#### Answer

$-\sqrt[3]3$

#### Work Step by Step

$7\sqrt[3]{24}-5\sqrt[3]{81}$
Factor out perfect cubes.
$7\sqrt[3]{(8)(3)}-5\sqrt[3]{(27)(3)}$
Simplify.
$7(2)\sqrt[3]{3}-5(3)\sqrt[3]{3}$
$14\sqrt[3]3-15\sqrt[3]3$
Add like radicals.
$-\sqrt[3]3$

Published by
Pearson

ISBN 10:
0-13417-805-X

ISBN 13:
978-0-13417-805-9

$-\sqrt[3]3$

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