If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?
A
\(\frac{p^2 t}{s^3}\)
B
\(\frac{p^3 t}{s^3}\)
C
\(\frac{p^3 t}{s^2}\)
D
\(\frac{p^ t}{s^3}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(p =\sqrt{\frac{rs^3}{t}}\)
= p\(^2 =\frac{rs^3}{t}\)
tp\(^2\) = rs\(^3\)
r = \(\frac{p^2 t}{s^3}\)
Source: Myschool Past Questions Archive (Record #9314)