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: 15

Answer

$ 50 \sqrt {7}$

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 7 and 100. 100 is a perfect square, so we know that we can simplify: $5\sqrt {700} = 5\sqrt {100} \times \sqrt {7} = 50 \sqrt {7}$
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