Algebra Examples

$\pm \sqrt{\frac{169}{256}}$

Step 1

Rewrite $\sqrt{\frac{169}{256}}$ as $\frac{\sqrt{169}}{\sqrt{256}}$ .

$\pm \frac{\sqrt{169}}{\sqrt{256}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $169$ as $13^{2}$ .

$\pm \frac{\sqrt{13^{2}}}{\sqrt{256}}$

Step 2.2

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

$\pm \frac{13}{\sqrt{256}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $256$ as $16^{2}$ .

$\pm \frac{13}{\sqrt{16^{2}}}$

Step 3.2

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

$\pm \frac{13}{16}$