Answer
$=2\sqrt{2}$
$\approx 2.83$
Work Step by Step
The given function is
$=\sqrt{a^2+bc}$
Substitute $-2$ for $a,8$ for $b,$ and $\frac{1}{2}$ for $c$.
$=\sqrt{(-2)^2+(8)(\frac{1}{2})}$
Simplify.
$=\sqrt{4+4}$
$=\sqrt{8}$
Factor as square term.
$=\sqrt{4\cdot 2}$
Use product property of square roots.
$=\sqrt{4}\cdot \sqrt{2}$
Simplify.
$=2\sqrt{2}$
Rounded to the nearest hundredth.
$\approx 2.83$
