Algebra Examples

$- \sqrt{\frac{100}{169}}$

Step 1

Rewrite $\sqrt{\frac{100}{169}}$ as $\frac{\sqrt{100}}{\sqrt{169}}$ .

$- \frac{\sqrt{100}}{\sqrt{169}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $100$ as $10^{2}$ .

$- \frac{\sqrt{10^{2}}}{\sqrt{169}}$

Step 2.2

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

$- \frac{10}{\sqrt{169}}$

Step 3

Simplify the denominator.

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Step 3.1

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

$- \frac{10}{\sqrt{13^{2}}}$

Step 3.2

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

$- \frac{10}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{13}$

Decimal Form:

$- 0.\overline{769230}$