Answer
$\color{blue}{-\frac{1}{2}\sqrt[4]{3}}$
Work Step by Step
Factor the radicand so that one factor is a perfect fourth power to obtain:
$=-\sqrt[4]{\left(\frac{1}{16}\right)(3)}
\\=-\sqrt{\left(\frac{1}{2}\right)^4(3)}$
Bring out the cube root of the perfect cube factor to obtain:
$\\=\color{blue}{-\frac{1}{2}\sqrt[4]{3}}$
