Use differentials to approximate the given values by hand. Provide $4$ decimal digits of accuracy.

$\sqrt[\phantom{2}]{9\mathrm{.}06}$~~

$\sqrt[\phantom{2}]{8\mathrm{.}92}$~~

$\sqrt[3]{8\mathrm{.}05}$~~

$\sqrt[3]{7\mathrm{.}97}$~~