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If P sqrt frac rs 3 t express r in terms of p s... - JAMB Mathematics 2009 Question

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
\(\frac{p^ t}{s^3}\)
correct option: a
\(P=\sqrt{\frac{rs^3}{t}}\=
P^2 =\frac{rs^3}{t}\\ tp^2 = rs^3\\ r = \frac{p^2 t}{s^3}\)
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