Question

How to factorize x² 3√3x 6

Answer 1

Correction in question :-

Between x^2 and 3root3x and 6, there is plus sign.

x^2 + 3root3 x + 6

$= {x}^{2} + 3 \sqrt{3} x + 6 \\ \\ = {x}^{2} + 2\sqrt{3} x + \sqrt{3} x + 6 \\ \\ = x(x + 2 \sqrt{3} ) + \sqrt{3} (x + 2 \sqrt{3} ) \\ \\ = (x + 2 \sqrt{3} )(x + \sqrt{3} )$