$\displaystyle 1^\frac{1}{2} = 1$
$\displaystyle 1^\frac{1}{3} = 1$
$\displaystyle 2^\frac{1}{2} = 1.41421$
$\displaystyle 2^\frac{1}{3} = 1.25992$
$\displaystyle 3^\frac{1}{2} = 1.73205$
$\displaystyle 3^\frac{1}{3} = 1.44225$
$\displaystyle 4^\frac{1}{2} = 2$
$\displaystyle 4^\frac{1}{3} = 1.5874$
$\displaystyle 5^\frac{1}{2} = 2.23607$
$\displaystyle 5^\frac{1}{3} = 1.70998$
$\displaystyle 6^\frac{1}{2} = 2.44949$
$\displaystyle 6^\frac{1}{3} = 1.81712$
$\displaystyle 7^\frac{1}{2} = 2.64575$
$\displaystyle 7^\frac{1}{3} = 1.91293$
$\displaystyle 8^\frac{1}{2} = 2.82843$
$\displaystyle 8^\frac{1}{3} = 2$
$\displaystyle 9^\frac{1}{2} = 3$
$\displaystyle 9^\frac{1}{3} = 2.08008$