Question

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

Answer 1

$$\begin{gathered} x^2+6\sqrt{6}x+48 \\ =x^2+4\sqrt{6}x+2\sqrt{6}x+48 \\ =x\left(x+4\sqrt{6}\right)+2\sqrt{6}\left(x+4\sqrt{6}\right) \\ =\left(x+4\sqrt{6}\right)\left(x+2\sqrt{6}\right) \end{gathered}$$