Simplify 100- square root of 36+3

$100 - \sqrt{36} + 3$

Simplify each term.

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

$100 - \sqrt{6^{2}} + 3$

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

$100 - 1 \cdot 6 + 3$

Multiply $- 1$ by $6$ .

$100 - 6 + 3$

Simplify by adding and subtracting.

Subtract $6$ from $100$ .

$94 + 3$

Add $94$ and $3$ .

$97$