Evaluate square root of 36- square root of 100

$\sqrt{36} - \sqrt{100}$

Step 1

Simplify each term.

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}} - \sqrt{100}$

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

$6 - \sqrt{100}$

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

$6 - \sqrt{10^{2}}$

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

$6 - 1 \cdot 10$

Multiply $- 1$ by $10$ .

$6 - 10$

Step 2

Subtract $10$ from $6$ .

$- 4$