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: 75

Answer

$5+2\sqrt6$

Work Step by Step

$(\sqrt2+\sqrt3)^2$= $(\sqrt{2}+\sqrt3)(\sqrt{2}+\sqrt3)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{2}\times\sqrt{2})+(\sqrt2\times(\sqrt3))+(\sqrt2\times\sqrt3)+(\sqrt3\times(\sqrt3))$ Simplify. $2+\sqrt{6}+\sqrt6+3$ Combine like terms/like radicals. $5+2\sqrt6$
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