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If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?

Mathematics
JAMB 2009

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. \(\frac{p^ t}{s^3}\)
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Correct Answer: Option A
Explanation

\(p =\sqrt{\frac{rs^3}{t}}\)

= p\(^2 =\frac{rs^3}{t}\)
tp\(^2\) = rs\(^3\)
r = \(\frac{p^2 t}{s^3}\)

There is an explanation video available below.


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Explanation Video

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