Question

How do you solve for t in `r = sqrt(s/t)`?

Answer 1

See the entire solution process below:

Explanation:

First, square each side of the equation to eliminate the radical while keeping the equation balanced:

`(r)^2 = (sqrt(s/t))^2`

`r^2 = s/t`

Now, multiply each side of the equation by `color(red)(t)/color(blue)(r^2)` to solve for `t`:

`color(red)(t)/color(blue)(r^2) xx r^2 = color(red)(t)/color(blue)(r^2) xx s/t`

`color(red)(t)/cancel(color(blue)(r^2)) xx color(blue)(cancel(color(black)(r^2))) = cancel(color(red)(t))/color(blue)(r^2) xx s/color(red)(cancel(color(black)(t)))`

`t = s/r^2`