Question

Factorise
2x² +5√3 x + 6​

Answer 1

$Given \: Quadratic \: expression :$

$2x^{2} + 5\sqrt{3}x + 6$

/* Splitting the middle term,we get */

$= 2x^{2} + 4\sqrt{3} x + \sqrt{3} x + 6$

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

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

Therefore.,

$\red{ Factors \: of \:'2x^{2} + 5\sqrt{3}x + 6}$

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

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