JAMB - Mathematics (2009 - No. 10)
If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?
\(\frac{p^2 t}{s^3}\)
\(\frac{p^3 t}{s^3}\)
\(\frac{p^3 t}{s^2}\)
\(\frac{p^ t}{s^3}\)
Explanation
\(p =\sqrt{\frac{rs^3}{t}}\\=
p^2 =\frac{rs^3}{t}\\
tp^2 = rs^3\\
r = \frac{p^2 t}{s^3}\)
p^2 =\frac{rs^3}{t}\\
tp^2 = rs^3\\
r = \frac{p^2 t}{s^3}\)
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