Answer
$y+10y^{1/2}+25$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, then,
\begin{array}{l}
(y^{1/2}+5)(y^{1/2}+5)
\\\\=
(y^{1/2}+5)^2
\\\\=
(y^{1/2})^2+2(y^{1/2})(5)+(5)^2
\\\\=
y+10y^{1/2}+25
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 425: 66
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