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: 34


$-\frac{3\sqrt 2+9}{7}$

Work Step by Step

Multiply the numerator and denominator by the conjugate and then simplify the radicals: $\frac{3}{\sqrt 2-3}\times\frac{(\sqrt 2+3)}{(\sqrt 2+3)}=\frac{3\sqrt 2+9}{\sqrt 4+3\sqrt 2-3\sqrt 2-9}=-\frac{3\sqrt 2+9}{7}$
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