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 - Page 611: 57

Answer

a=2, b=90

Work Step by Step

1. a) given: a=18, b=10 $\sqrt a \times \sqrt b$ = $\sqrt 18\times\sqrt 10$ += $\sqrt (18\times10)$ = $\sqrt 180$ = $5\sqrt 6$ 2. b) Since $\sqrt 180$ = $5\sqrt 6$, what we need are two numbers that when multiplied together equal 180, such as a=2 and b=90. $\sqrt 2\times\sqrt 90$ = $\sqrt 180$= $5\sqrt 6$
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