Factorize the following expression : \(x^2 + 6\sqrt{2}x + 10\)
\[
x^2 + 6\sqrt{2}x + 10
\]
\[
= x^2 + 5\sqrt{2}x + \sqrt{2}x + 10
\]
\[
= x(x + 5\sqrt{2}) + \sqrt{2}(x + 5\sqrt{2})
\]
\[
= (x + 5\sqrt{2})(x + \sqrt{2})
\]