Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents: 32

Answer

$10 + 2\sqrt21$

Work Step by Step

Step 1: We will use the formula, $(a+b)^{2}= a^{2} + 2ab + b^{2}$, in this question Step 2: $(\sqrt 7+\sqrt 3)^{2}$ = $(\sqrt 7)^{2} + 2\sqrt 7\sqrt 3 + (\sqrt 3)^{2} $ Step 3: $7 + 2\sqrt (7\times3) + 3 = 10 + 2\sqrt 21$ Step 4: Therefore, the answer is $10 + 2\sqrt21$
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