Question

Factorise:
$x^2+6\sqrt{6}x+48$

Answer 1

$x^2+6\sqrt{6}x+48\Rightarrow x^2+2\sqrt{6}x+4\sqrt{6}x+48\Rightarrow x(x+2\sqrt{6})+4\sqrt{6}(x+2\sqrt{6})\Rightarrow (x+2\sqrt{6})(x+4\sqrt{6})$