MCQ
$\sqrt{12}\times\sqrt{15}=$
- A$6$
- B$5\sqrt{6}$
- C$5$
- ✓$6\sqrt{5}$
✓
Answer
Correct option: D.
$6\sqrt{5}$
$\sqrt{12}=\sqrt{3\times2^2}=2\sqrt{3}$ and $\sqrt{15}=\sqrt{5}\times\sqrt{3}$
So, $\sqrt{12}\times\sqrt{15}=2\sqrt{3}\times\sqrt{3}\times\sqrt{5}$
$=2\times3\sqrt{5}=6\sqrt{5}$
So, $\sqrt{12}\times\sqrt{15}=2\sqrt{3}\times\sqrt{3}\times\sqrt{5}$
$=2\times3\sqrt{5}=6\sqrt{5}$
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