MCQ
The value of $\sqrt{\text{p}^{-1}\text{q}}\times\sqrt{\text{q}^{-1}\text{r}}\times\sqrt{\text{r}^{-1}\text{p}}$ is:
- ✓$1$
- B$0$
- C$2$
- D$-1$
✓
Answer
Correct option: A.
$1$
$\sqrt{\text{p}^{-1}\text{q}}\times\sqrt{\text{q}^{-1}\text{r}}\times\sqrt{\text{r}^{-1}\text{p}}$
$=\sqrt{\frac{\text{p}}{\text{q}}}\times\sqrt{\frac{\text{r}}{\text{q}}}\times\sqrt{\frac{\text{p}}{\text{r}}}$
$=\sqrt{\frac{\text{q}}{\text{p}}\times\frac{\text{r}}{\text{q}}\times\frac{\text{p}}{\text{r}}}$
$=1$
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