## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 67

#### Answer

$4\sqrt3$

#### Work Step by Step

RECALL: For positive real numbers $a$ and $b$, $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$ Use the rule above to obtain: $=\sqrt{6(8)} \\=\sqrt{48}$ Factor the radicand so that one of the factors is a perfect square to find: $=\sqrt{16(3)} \\=\sqrt{4^2(3)}$ Bring out the square root of the perfect square factor to find: $=4\sqrt{3}$

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