Answer
$7+4\sqrt3$.
Work Step by Step
The given expression is
$=(2+\sqrt3)^2$
Use the special formula.
$(A+B)^2=A^2+2AB+B^2$
We have $A=2$ and $B=\sqrt3$.
$=2^2+2(2)(\sqrt3)+(\sqrt3)^2$
Simplify.
$=4+4\sqrt3+3$
$=7+4\sqrt3$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 551: 125
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