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If $p=\sqrt{\frac{rs^3}{t}}$ , express r in terms of p, ...

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.

$\frac{p^ t}{s^3}$

View answer & explanation

Correct answer is 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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