Answer
$=-7\sqrt{2}$
$\approx -9.90$
Work Step by Step
The given function is
$=-\sqrt{4c-6ab}$
Substitute $-2$ for $a,8$ for $b,$ and $\frac{1}{2}$ for $c$.
$=-\sqrt{4(\frac{1}{2})-6(-2)(8)}$
Simplify.
$=-\sqrt{2+96}$
$=-\sqrt{98}$
Factor as square term.
$=-\sqrt{49\cdot 2}$
$=-\sqrt{7^2\cdot 2}$
Use product property of square roots.
$=-\sqrt{7^2}\cdot \sqrt{2}$
Simplify.
$=-7\sqrt{2}$
Rounded to the nearest hundredth.
$\approx -9.90$
