Simplify 10-4 square root of 1/16

$10 - 4 \sqrt{\frac{1}{16}}$

Step 1

Simplify each term.

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

$10 - 4 \frac{\sqrt{1}}{\sqrt{16}}$

Any root of $1$ is $1$ .

$10 - 4 \frac{1}{\sqrt{16}}$

Simplify the denominator.

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

$10 - 4 \frac{1}{\sqrt{4^{2}}}$

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

$10 - 4 (\frac{1}{4})$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

$10 + 4 (- 1) \frac{1}{4}$

Cancel the common factor.

$10 + 4 \cdot - 1 \frac{1}{4}$

Rewrite the expression.

$10 - 1$

Step 2

Subtract $1$ from $10$ .

$9$