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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 9: Q3. (page 483)

Simplify the expression.
$\sqrt{\frac{15}{16}}$

Short Answer

Expert verified

The simplified value is $\frac{\sqrt{3 脳 5}}{4}$ .

Step by step solution

01

Step 1. Given Information.

The given expression is $\sqrt{\frac{15}{16}}$ .

02

Step 2. Calculation.

The expression can be simplified as,

$\begin{matrix} \sqrt{\frac{15}{16}} = \frac{\sqrt{15}}{\sqrt{16}} \\ = \frac{{(15)}^{\frac{1}{2}}}{{(16)}^{\frac{1}{2}}} \\ = \frac{{(3 脳 5)}^{\frac{1}{2}}}{{(4^{2})}^{\frac{1}{2}}} \\ = \frac{\sqrt{3 脳 5}}{4} \end{matrix}$

03

Step 3. Conclusion.

The simplified value of the given expression is $\frac{\sqrt{3 脳 5}}{4}$ .

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