Answer
$88+30\sqrt{7}$
Work Step by Step
The given expression is
$=(3\sqrt{7}+5)^2$
Use special formula $(a+b)^2=a^2+2ab+b^2$
We have $a=3\sqrt 7$ and $b=5$.
$=(3\sqrt{7})^2+2(3\sqrt{7})(5)+(5)^2$
Simplify.
$=63+30\sqrt{7}+25$
$=88+30\sqrt{7}$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 9 - Solving Quadratic Equations - Chapter Review - Page 534: 7
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