Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - Study Summary - Practice Exercises: 11

Answer

$31-19\sqrt{3}$

Work Step by Step

Using the FOIL Method which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ then \begin{array}{l}\require{cancel} (2-\sqrt{3})(5-7\sqrt{3}) \\\\= 2(5)+2(-7\sqrt{3})-\sqrt{3}(5)-\sqrt{3}(-7\sqrt{3}) \\\\= 10-14\sqrt{3}-5\sqrt{3}+7(3) \\\\= 10-14\sqrt{3}-5\sqrt{3}+21 \\\\= 31-19\sqrt{3} .\end{array}
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