Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises: 12

Answer

$ 8 \sqrt {2}$

Work Step by Step

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 $\sqrt 128$ has factors of 64 and 2. 64 is a perfect square, so we know that we can simplify: $\sqrt {128} = \sqrt {64} \times \sqrt {2} = 8 \sqrt {2}$
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