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 7.4 - Adding, Subtracting, and Dividing Radical Expressions - Exercise Set - Page 539: 83



Work Step by Step

If a triangle has sides $a,b,c$, its perimeter is $a+b+c$. Hence here: $P=\sqrt{45}+\sqrt{80}+\sqrt{125}=\sqrt9\sqrt5+\sqrt{16}\sqrt5+\sqrt{25}\sqrt5=3\sqrt5+4\sqrt5+5\sqrt5=12\sqrt5$
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