Question

Factorise the equation given below by splitting method. Please solve step by step.
$x ^{2} - 2 \sqrt{5} x + 3$

Answer 1

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THE ANSWER IS HERE,

$= > \: {x}^{2} - 2 \sqrt{5} x + 3$

$= > \: {x}^{2} + ( \sqrt{2} - \sqrt{5})x + ( - \sqrt{5} - \sqrt{2} )x + 3$

$= > \: x(x + \sqrt{2} - \sqrt{5} ) + ( - \sqrt{2} - \sqrt{5} )(x + \sqrt{2} - \sqrt{5} )$

$= > \: (x - \sqrt{5} - \sqrt{2} )(x + \sqrt{2} - \sqrt{5} )$

:-)Hope it helps u.