Question

Factorise:
$x^2+5\sqrt{5}x+30$

Answer 1

$$\begin{gathered} x^2+5\sqrt{5}x+30 \\ =x^2+3\sqrt{5}x+2\sqrt{5}x+30 \\ =x\left(x+3\sqrt{5}\right)+2\sqrt{5}\left(x+3\sqrt{5}\right) \\ =\left(x+3\sqrt{5}\right)\left(x+2\sqrt{5}\right) \end{gathered}$$