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