Question

Simplify :
$2\sqrt{2}+8\sqrt{8}.3\sqrt{18}$.

Answer 1

$2\sqrt{2}+8\sqrt{8}\times 3\sqrt{18}$

$=$ $2\sqrt{2}+8\sqrt{2\times 2\times 2}\times \sqrt{3\times 3\times 2}$

$=$ $2\sqrt{2}+(8\times 2\sqrt{2})\times (3\times 3\sqrt{2})$

$=$ $2\sqrt{2}+16\sqrt{2}\times 9\sqrt{2}$

$=$ $2\sqrt{2}+144\times 2$

$=$ $2\sqrt{2}+288$, which is the simplified answer.