Factorize the following expression : \(x^2 + 5\sqrt{5}x + 30\)
\[
x^2 + 5\sqrt{5}x + 30
\]
\[
= x^2 + 2\sqrt{5}x + 3\sqrt{5}x + 30
\]
\[
= x(x + 2\sqrt{5}) + 3\sqrt{5}(x + 2\sqrt{5})
\]
\[
= (x + 2\sqrt{5})(x + 3\sqrt{5})
\]