Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises: 85

Answer

Distributive Property

Work Step by Step

RECALL: The distributive property states that for any real numbers $a, b,$ and $c$, $a(b+c) = a\cdot b+a \cdot c$ Notice that: $\sqrt3(\sqrt5 + \sqrt3) = (\sqrt3)(\sqrt5) + (\sqrt3)(\sqrt3) = \sqrt{15}+3$ Thus, the given expression illustrates the distributive property.
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