Question
$\sqrt{10}\times\sqrt{15}$ is equal to :
✓
Answer
- $5\sqrt6$
Solution :
10 = 5 × 2
15 = 5 × 3
$\therefore\sqrt{10}\times\sqrt{15}=\sqrt{5\times2}\times\sqrt{5\times3}$
$=\sqrt{5}\times\sqrt{2}\times\sqrt{5}\times\sqrt3$
$=\big(\sqrt5\times\sqrt5\big)\times\sqrt2\times\sqrt3$
$=5\sqrt6$
Hence, correct option is (a).
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