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

1 Answer
smendyka
Feb 12, 2017

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#

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