Chapter 9: Q3. (page 483)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information.

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

Step 2. Calculation.

The expression can be simplified as,

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

Step 3. Conclusion.

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

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Simplify the expression.1516

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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