Question

factorise 2 X square + 3 root 5 x + 5

Answer 1

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