Question

Factorise : 2x^2 + 5√3x + 6 ​

Answer 1

$2x { }^{2} + 5 \sqrt{3x} + 6 \\ = 2x {}^{2} + (4 + 1) \sqrt{3x} + 6 \\ = 2x {}^{2} + 4 \sqrt{3 x } + \sqrt{3x} + 6 \\ = (2x {}^{2} + 4 \sqrt{3} )( \sqrt{3x} + 6) \\ = 2x(x + 2 \sqrt{3} ) + \sqrt{3} (x + 2 \sqrt{3} ) \\ = (x + 2 \sqrt{3} )(2x + \sqrt{3} ) \: ans........$