Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 624: 67

Answer

$ab^{2}c\sqrt {abc}$

Work Step by Step

We can simplify the expression as follows: = $\sqrt a^{3}b^{5}c^{3}$ = $\sqrt a^{3}*\sqrt b^{5}*\sqrt c^{3}$ = $\sqrt a^{2}*\sqrt a*\sqrt b^{4}*\sqrt b*\sqrt c^{2}*\sqrt c$ = $a*\sqrt a*b^{2}*\sqrt b*c*\sqrt c$ = $ab^{2}c\sqrt{ abc}$ (Since $\sqrt x * \sqrt y = \sqrt xy$)
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