Question

Factorise:
$x^2+7\sqrt{6}x+60$

Answer 1

$$\begin{gathered} x^2+7\sqrt{6}x+60 \\ =x^2+5\sqrt{6}x+2\sqrt{6}x+60 \\ =x\left(x+5\sqrt{6}\right)+2\sqrt{6}\left(x+5\sqrt{6}\right) \\ =\left(x+5\sqrt{6}\right)\left(x+2\sqrt{6}\right) \end{gathered}$$