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Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{...

Make Q the subject of formula when $L=\frac{4}{3}M\sqrt{PQ}$

A.

$\frac{9L^2}{16M^2P}$

B.

$\frac{3L}{4M\sqrt{P}}$

C.

$\frac{\sqrt{3L}}{4MP}$

D.

$\frac{3L^2}{16M^2}P$

View answer & explanation

Correct answer is A

$L=\frac{4}{3}M\sqrt{PQ}\\ =\frac{3}{4M} \times L = \sqrt{PQ}\\ =\left(\frac{3L}{4M}\right)^2=(\sqrt{PQ})^2\\ =\frac{9L^2}{16M^2}=PQ\\ =Q=\frac{9L^2}{16M^2 P}$

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