Pre-Algebra Examples

$4 \sqrt{\frac{1}{16}}$

Step 1

Rewrite $\sqrt{\frac{1}{16}}$ as $\frac{\sqrt{1}}{\sqrt{16}}$ .

$4 \frac{\sqrt{1}}{\sqrt{16}}$

Step 2

Any root of $1$ is $1$ .

$4 \frac{1}{\sqrt{16}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $16$ as $4^{2}$ .

$4 \frac{1}{\sqrt{4^{2}}}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$4 (\frac{1}{4})$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Cancel the common factor.

$4 (\frac{1}{4})$

Step 4.2

Rewrite the expression.

$1$