Question

Multiply and write the answer in the simplest form.
$3\sqrt{12}\times 7\sqrt{15}$

Answer 1

$3\sqrt{12}\times 7\sqrt{15}$

$=3\times 7\times \sqrt{12}\times \sqrt{15}$

$=21\times \sqrt{12\times 15}$

$=21\times \sqrt{4\times 9\times 5}$

$=21\times 2\times 3\times \sqrt{5}$

$=126\sqrt{5}$