Answer
$\frac{1}{13}(4-\sqrt 3)$
Work Step by Step
We are given:
$\frac{1}{\sqrt3+4}$
Multiplying with $\frac{\sqrt 3-4}{\sqrt 3-4}$
$=\frac{\sqrt 3-4}{3-16}$
$=\frac{\sqrt 3-4}{-13}$
$=\frac{1}{13}(4-\sqrt 3)$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 10 - Radical Expressions and Equations - Chapter Test - Page 657: 12
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