Evaluate - square root of 81/100

$- \sqrt{\frac{81}{100}}$

Step 1

Rewrite $\sqrt{\frac{81}{100}}$ as $\frac{\sqrt{81}}{\sqrt{100}}$ .

$- \frac{\sqrt{81}}{\sqrt{100}}$

Step 2

Simplify the numerator.

Rewrite $81$ as $9^{2}$ .

$- \frac{\sqrt{9^{2}}}{\sqrt{100}}$

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

$- \frac{9}{\sqrt{100}}$

Step 3

Simplify the denominator.

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

$- \frac{9}{\sqrt{10^{2}}}$

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

$- \frac{9}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{10}$

Decimal Form:

$- 0.9$