$0.5 \times 0.05 \times \sqrt{q}=\sqrt{0.5 \times 0.05 \times p} ; \frac{p}{q}=?$

Given: Expression $0.5 \times 0.05 \times \sqrt{q}=\sqrt{0.5 \times 0.05 \times p}$.

To do: To find the value of $\frac{p}{q}$.

Solution:

Given expression: $0.5 \times 0.05 \times \sqrt{q}=\sqrt{0.5 \times 0.05 \times p}$

 $\Rightarrow 0.5 \times 0.05 \times \sqrt{q}=\sqrt{0.5 \times 0.05}\times \sqrt{p}$

$\Rightarrow \frac{\sqrt{p}}{\sqrt{q}}=\frac{0.5 \times 0.05}{\sqrt{0.5 \times 0.05}}$

$\Rightarrow (\frac{\sqrt{p}}{\sqrt{q}})^2=(\frac{0.5 \times 0.05}{\sqrt{0.5 \times 0.05}})^2$                                                 [On squaring both sides]

$\Rightarrow \frac{p}{q}=\frac{0.5\times0.05\times0.5\times0.05}{0.5\times0.05}$

$\Rightarrow \frac{p}{q}=0.025$.

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Updated on: 10-Oct-2022

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