Question

Solve:
$3\sqrt{15}\times 2\sqrt{5}+5\sqrt{3}$

Answer 1

Given that:

$3\sqrt{1}5\times 2\sqrt{5}+5\sqrt{3}$

$[\because \sqrt{ab}=\sqrt{a}\times \sqrt{b},wherea\&b\ge 0]$

So,

$=3\sqrt{3\times 5}\times 2\sqrt{5}+2\sqrt{3}$

$=3\sqrt{3}\sqrt{5}\times 2\sqrt{5}+5\sqrt{3}$

$=30\sqrt{3}+5\sqrt{3}$

$=35\sqrt{3}$ Ans.