Question

factorise the question​

Answer 1

$\mathfrak{\huge{\red{QUESTION}}}$

Given

$<font color = "blue"><marquee>ANSWER</font color = "blue"></marquee>$

$\sqrt{2} {x}^{2} + 3x + \sqrt{2} \\ \\ = \geqslant \sqrt{2} {x}^{2} +2x + x + \sqrt{2} \\ \\ = \geqslant \sqrt{2} {x}^{2} + \sqrt{2} \times \sqrt{2} x + x + \sqrt{2} \\ \\ = \geqslant \sqrt{2} x( x + \sqrt{2} ) + 1( x + \sqrt{2} ) \\ \\ = \geqslant ( \sqrt{2}x + 1) \: (x + \sqrt{2} )$