Algebra 1

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

Chapter 10 - Radical Expressions and Equations - Chapter Review - 10-3 Operations with Radial Expressions - Page 643: 35



Work Step by Step

Multiply the numerator and denominator by the conjugate and then simplify the radicals: $\frac{\sqrt 3-3}{\sqrt 3+3}\times\frac{(\sqrt 3-3)}{(\sqrt 3-3)}=\frac{\sqrt 9-3\sqrt 3-3\sqrt 3+9}{\sqrt 9-3\sqrt 3+3\sqrt 3-9}=\frac{12-6\sqrt 3}{-6}=-2+\sqrt3$
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