Intermediate Algebra for College Students (7th Edition)

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 549: 15

Answer

$117-36\sqrt{7}$

Work Step by Step

Use the FOIL method, with $\sqrt{a^{2}}=(\sqrt{a})^{2}=a$ (for positive a). $F:\quad 6\times 2=12$ $O:\quad 6\times(-5\sqrt{7})=-30\sqrt{7}$ $I:\quad -3\sqrt{7}\times 2=-6\sqrt{7}$ $L:\quad -3\sqrt{7}\times(-5\sqrt{7})=+15(\sqrt{7})^{2}=15\times 7=105$ Add like terms: (F+L)+(O+I) $...$= $117-36\sqrt{7}$
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