Chapter 9: Q4. (page 483)

Simplify the expression.
$\sqrt{\frac{32}{n^{2}}}$

Short Answer

Expert verified

The simplified value is $\frac{4 \sqrt{2}}{n}$ .

Step by step solution

Step 1. Given Information.

The given expression is $\sqrt{\frac{32}{n^{2}}}$ .

Step 2. Calculation.

The expression can be simplified as,

$\begin{matrix} \sqrt{\frac{32}{n^{2}}} = \frac{\sqrt{32}}{\sqrt{n^{2}}} \\ = \frac{{(32)}^{\frac{1}{2}}}{{(n^{2})}^{\frac{1}{2}}} \\ = {\frac{(2 \times 2 \times 2 \times 2 \times 2)}{n}}^{\frac{1}{2}} \\ = \frac{2 \times 2 \sqrt{2}}{n} \end{matrix}$

On further simplification,

$\frac{2 \times 2 \sqrt{2}}{n} = \frac{4 \sqrt{2}}{n}$

Step 3. Conclusion.

The simplified value of the given expression is $\frac{4 \sqrt{2}}{n}$ .

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Simplify the expression.
$\sqrt{\frac{32}{n^{2}}}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Simplify the expression.32n2

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Study anywhere. Anytime. Across all devices.

Simplify the expression.
$\sqrt{\frac{32}{n^{2}}}$