MCQ
If $\text{x}=\frac{\sqrt{7}}{5}$ and $\frac{5}{\text{x}}=\text{p}\sqrt{7}$ than the value of $p$ is:
- A$\frac{7}{25}$
- B$\frac{7}{15}$
- C$\frac{15}{7}$
- ✓$\frac{25}{7}$
✓
Answer
Correct option: D.
$\frac{25}{7}$
$\text{x}=\frac{\sqrt{7}}{5}$ and $\frac{5}{\text{x}}=\text{p}\sqrt{7}$
$\frac{5}{\frac{\sqrt{7}}{5}}=\text{p}\sqrt{7}$
$\frac{5\times5}{\sqrt{7}}=\text{p}\sqrt{7}$
$\frac{5\times5}{\sqrt{7}\sqrt{7}}=\text{P}$
$\text{P}=\frac{25}{7}$
$\frac{5}{\frac{\sqrt{7}}{5}}=\text{p}\sqrt{7}$
$\frac{5\times5}{\sqrt{7}}=\text{p}\sqrt{7}$
$\frac{5\times5}{\sqrt{7}\sqrt{7}}=\text{P}$
$\text{P}=\frac{25}{7}$
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