Algebra 1: Common Core (15th Edition)

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

Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Lesson Check - Page 450: 10


No. $3\sqrt{4}\neq 4$.

Work Step by Step

$\sqrt{4^{3}}=\sqrt{4^{2}\cdot 4}=4\sqrt{4}$ $\sqrt{4^{3}}-\sqrt{4}=4\sqrt{4}-\sqrt{4}$ ... So, factoring out $\sqrt{4}$ $=\sqrt{4}(4-1)$ $=3\sqrt{4}\neq 4$
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