Question

$\sqrt{3 \:} x {}^{2} - 2 \sqrt{2} x - 2 \sqrt{3}$

Answer 1

√3x²-3√2x+√2x-2√3
√3x(x-√6)+√2(x-√6)
(√3x+√2)(x-√6)

Answer 2

Hope u like my process
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$\sqrt{3} {x}^{2} - 2 \sqrt{2} x - 2 \sqrt{3} \\ \\ = \sqrt{3 }x^{2} - 3 \sqrt{2} x + \sqrt{2} x - 2 \sqrt{3} \\ \\ = \sqrt{3} x(x - \sqrt{6} ) + \sqrt{6} (x - \sqrt{6} ) \\ \\ = (x - \sqrt{6} )( \sqrt{3} x + \sqrt{6} )$
Hope this is ur required answer

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