Algebra 1: Common Core (15th Edition)

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

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Got It? - Page 17: 1


a) 8 b) 5 c) 1/6 d) 9/11

Work Step by Step

The simplest way to find the simplified version of a radical expression, is to search for square numbers. You will notice that when solving for a, the number underneath the radical is 64, which is a square number ($8^2$). Therefore the simplified version is 8. Moving on, 25 is also a square number ($5^2$), so the square root of that is 5. You will also notice that when you square 1/6, you end up with 1/36, so the square root of 1/36, is 1/6. For the last one, you follow the steps listed above. You will notice that $(9/11)^2$= 81/121. Therefore the square root of 81/121 = 9/11.
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