Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 561: 5

Answer

(a) $2~\sqrt{2}$ (b) $3~\sqrt{5}$ (c) $30$ (d) $3$

Work Step by Step

We can simplify the following expressions: (a) $\sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2~\sqrt{2}$ (b) $\sqrt{45} = \sqrt{9 \cdot 5} = \sqrt{9} \cdot \sqrt{5} = 3~\sqrt{5}$ (c) $\sqrt{900} = \sqrt{9 \cdot 100} = \sqrt{9} \cdot \sqrt{100} = (3)(10) = 30$ (d) $(\sqrt{3})^2 = \sqrt{3} \cdot \sqrt{3} = \sqrt{3 \cdot 3} = \sqrt{9} = 3$
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