Question

Solve the equation for the indicated variable. (Leave ± in the answer as needed)

Answer 1

The given expression is:

$h=td^2$

Therefore,

$td^2=h$

Dividing both sides of the equation by t:

$\frac{td^2}{t}=\frac{h}{t}$

Hence,

$d^2=\frac{h}{t}$

Thus,

$d=\sqrt{\frac{h}{t}}=\frac{\sqrt{h}}{\sqrt{t}}$

To rationalize the equation by √t:

$\begin{gathered} d=\frac{\sqrt{h}}{\sqrt{t}}\times\frac{\sqrt{t}}{\sqrt{t}}=\frac{\sqrt{ht}}{t} \\ d=\frac{\sqrt{ht}}{t} \end{gathered}$

d =