Question

$\sqrt{10}\times \sqrt{15}=?$

(a)$\sqrt{25}$ (b)$5\sqrt{6}$ (c)$6\sqrt{5}$ (d) None of these

Answer 1

$\sqrt{1}0\times \sqrt{1}5=\sqrt{(}2\times 5)\times \sqrt{(}3\times 5)$
$\to \sqrt{a}b$
We know that $\to \sqrt{a}\times \sqrt{b}$
So $5\times \sqrt{2\times 3}=5\sqrt{6}$

Hence, the correct answer is option (ii).