Given that p(frac{1}{3}) = (frac{3sqrt{q}}{r}), make q the subject of the equation
-
A.
q = p(sqrt{r}) -
B.
q = p3r -
C.
q = pr3 -
D.
q = pr(frac{1}{3})
Correct Answer: Option D
Explanation
p(frac{1}{3}) = (frac{3sqrt{q}}{r})(cross multiply)
3(sqrt{q}) = r x 3(frac{sqrt{q}}{r})(cross multiply)
3(sqrt{q}) = r x 3(sqrt{p}) cube root both side
q = 3(sqrt{r}) x p
q = r(frac{1}{3})p = pr(frac{1}{3})