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 - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 686: 45



Work Step by Step

Using $a(b+c)=ab+ac$, or the Distributive Propert,y and the properties of radicals, the given expression, $ 5i(2+6i) ,$ simplifies to \begin{array}{l}\require{cancel} 5i(2)+5i(6i) \\\\= 10i+30i^2 \\\\= 10i+30(-1) \\\\= 10i-30 \\\\= -30+10i .\end{array}
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