A varies directly as x, and B varies directly as x, although not in the same proportion as A. All numbers are positive. Show that $\sqrt{AB}$ varies directly as x.
The general variation equation for A, with a constant of proportionality $k_1$, is A = $k_1$
The general variation equation for B, with a constant of proportionality $k_2$, is B = $k_2$
The general variation equation for the root of the product of A and B is $\sqrt{AB}$ = $\sqrt{k_1k_2}$x.
(Simplify your answer.)
In the general variation equation $\sqrt{AB}$, the constant of proportionality is $\sqrt{k_1k_2}$, and the equation is of the form y = kx.
