Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises: 30

Answer

$2|x^3|\sqrt{6}$

Work Step by Step

RECALL: $\sqrt{a} \cdot \sqrt{b} = \sqrt{a\cdot b}, a\gt0, b\gt 0$. Use the rule above to have $\sqrt{(8x^5)(3x)} \\=\sqrt{24x^6} \\=\sqrt{4x^6(6)} \\=\sqrt{(2x^3)^2(6)} \\=2|x^3|\sqrt{6}.$
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