Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.10 - Modeling with Functions - Exercise Set - Page 296: 71

Answer

The solution of the equation is \[\sqrt{2}\]

Work Step by Step

Consider the equation is: $\sqrt{18}-\sqrt{8}$. Re-write the above expression as, $\begin{align} & \sqrt{18}-\sqrt{8}=\sqrt{{{3}^{2}}\left( 2 \right)}-\sqrt{{{2}^{2}}\left( 2 \right)} \\ & =3\sqrt{2}-2\sqrt{2} \\ & =\sqrt{2}\left( 3-2 \right) \\ & =\sqrt{2} \end{align}$ Hence, the solution of the equation is $\sqrt{2}$.
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