# How do you solve for d in f=(Gm_1m_2)/d^2 ?

$d = \sqrt{\frac{G {m}_{1} {m}_{2}}{f}}$
$f = \frac{G {m}_{1} {m}_{2}}{d} ^ 2$
$\Rightarrow {d}^{2} = \frac{G {m}_{1} {m}_{2}}{f}$
$\therefore d = \sqrt{\frac{G {m}_{1} {m}_{2}}{f}}$