Question

guys plz factorize this

Answer 1

${x}^{2} - 2 \sqrt{5} x+ 3 = \\ {x}^{2} - 2 \sqrt{5} x + 3 + 5 - 5 \\ {(x - \sqrt{5)} }^{2} - 2 = \\ {(x - \sqrt{5)} }^{2} - { \sqrt{2} }^{2} \\ = (x - \sqrt{5} - \sqrt{2} )(x - \sqrt{5} + \sqrt{2} )$
Hope this helps.