If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r

Assessment: WAEC SSCE - General Mathematics - 2008 (Objective) Subject: General Mathematics

Question 1 Report

If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
Answer Details
Given that p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), we need to express q in terms of p and r. Let's first isolate the term containing q on one side of the equation: \begin{align*} p &= \frac{3}{5} \sqrt{\frac{q}{r}} \\ \frac{5}{3}p &= \sqrt{\frac{q}{r}} \\ \left(\frac{5}{3}p\right)^2 &= \frac{q}{r} \\ \frac{25}{9} p^2r &= q \\ \end{align*} Therefore, q is equal to \(\frac{25}{9} p^2r\). So the correct option is: \(\frac{25}{9} p^2r\)

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