$$\sqrt{ \sqrt{ x+1 } } \times \sqrt{ \sqrt{ x } \sqrt[ 3 ]{ x } }$$
$\sqrt[4]{x+1}x^{\frac{5}{12}}$
$\frac{8x+5}{12x^{\frac{7}{12}}\left(x+1\right)^{\frac{3}{4}}}$