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 - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 28

Answer

$10+2\sqrt5$

Work Step by Step

The distributive property states that for any real numbers $a, b, $ and $c$, $a(b+c) =a\cdot b+a \cdot c$ Thus, apply the distributive property to the given problem to find: $=\sqrt{10} \cdot \sqrt2 + \sqrt{10} \cdot \sqrt{10} \\=\sqrt{20}+10 \\=\sqrt{4(5)} + 10 \\=2\sqrt{5}+10$
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