Evaluate the Function f(-8) = square root of x+8+2

$f (- 8) = \sqrt{x + 8} + 2$

Replace the variable $x$ with $- 8$ in the expression.

$f (- 8) = \sqrt{(- 8) + 8} + 2$

Simplify the result.

Simplify each term.

Add $- 8$ and $8$ .

$f (- 8) = \sqrt{0} + 2$

Rewrite $0$ as $0^{2}$ .

$f (- 8) = \sqrt{0^{2}} + 2$

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

$f (- 8) = 0 + 2$

Add $0$ and $2$ .

$f (- 8) = 2$

The final answer is $2$ .

$2$