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 623: 27


$ 42n^{2}$

Work Step by Step

$ \sqrt {1764} \times \sqrt {n^{4}} =\sqrt {1764} \times n^{2}$ In order to see if a radical is in simplified form, see if any of its factors are perfect squares (meaning that their square root will be an integer). We see that 1764 is a perfect square, so we know that we can simplify: $\sqrt {1764} \times n^{2}= 42n^{2}$
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