Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 555: 6


(a) $2~\sqrt{7}$ (b) $4~\sqrt{2}$ (c) $3~\sqrt{6}$ (d) $10~\sqrt{2}$

Work Step by Step

We can simplify the following expressions: (a) $\sqrt{28} = \sqrt{4 \cdot 7} = \sqrt{4} \cdot \sqrt{7} = 2~\sqrt{7}$ (b) $\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4~\sqrt{2}$ (c) $\sqrt{54} = \sqrt{9 \cdot 6} = \sqrt{9} \cdot \sqrt{6} = 3~\sqrt{6}$ (d) $\sqrt{200} = \sqrt{100 \cdot 2} = \sqrt{100} \cdot \sqrt{2} = 10~\sqrt{2}$
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