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 - 6-3 Binomial Radical Expressions - Got It? - Page 375: 1

Answer

a. This expression cannot be simplified any further. b. $7x \sqrt {xy}$ c. $2 \sqrt[5] {3x^{2}}$

Work Step by Step

a. This expression cannot be simplified any further because the indexes of the radicals are different. b. Since the radicals are the same, just add the coefficients: $(3x + 4x)\sqrt {xy}$ Add to simplify: $7x \sqrt {xy}$ c. Since the radicals are the same, just subtract the coefficients: $(17 - 15)\sqrt[5] {3x^{2}}$ Subtract to simplify: $2 \sqrt[5] {3x^{2}}$
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