Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.5 Quadratic Equations - Exercise Set 6.5 - Page 401: 96

Answer

The provided statement does not make sense.

Work Step by Step

It is provided that: $\frac{3+2\sqrt{3}}{2}=3+\sqrt{3}$ Simplify, the left-hand side of above equation as: $\begin{align} & \frac{3+2\sqrt{3}}{2}=\frac{3}{2}+\frac{2\sqrt{3}}{2} \\ & =1.5+\sqrt{3} \end{align}$ Now, consider the right-hand side equation: $3+\sqrt{3}$ So, right-hand side is not equal to left-hand side as: $\frac{3+2\sqrt{3}}{2}\ne 3+\sqrt{3}$ So, provided statement does not make sense.
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