MCQ
The value of $\frac{15 \sqrt{15}}{3 \sqrt{3}}$ is
- A$3 \sqrt{5}$
- B$5 \sqrt{3}$
- ✓$5 \sqrt{5}$
- D$3 \sqrt{3}$
✓
Answer
Correct option: C.
$5 \sqrt{5}$
(c)
Using $\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$, we obtain
$\frac{15 \sqrt{15}}{3 \sqrt{3}}=\frac{15}{3} \sqrt{\frac{15}{3}}=5 \sqrt{5}$
Using $\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$, we obtain
$\frac{15 \sqrt{15}}{3 \sqrt{3}}=\frac{15}{3} \sqrt{\frac{15}{3}}=5 \sqrt{5}$
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