Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 61

Answer

$\sqrt6-6\sqrt{2}+\sqrt{3}-6$

Work Step by Step

$(\sqrt{2}+1)(\sqrt{3}-6)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{2}\times\sqrt{3})+(-6\times\sqrt2)+(1\times\sqrt3)+(1\times(-6))$ Simplify. $\sqrt6-6\sqrt{2}+\sqrt{3}-6$
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