Find the roots of the quadratic equation `3x^2-2sqrt(6)x+2=0`

Explanation

`3x^2 - 2sqrt6x +2=0`

split mid term `-2sqrt6 in alpha & beta`

such that `alpha+ beta= -2sqrt6x`

`alpha*beta=(3x^2)(2)= 6x^2`

`alpha= -sqrt6x`

`beta=-sqrt6 x`

now in eqn `3x^2 - sqrt6 x - sqrt 6 x + 2 = 0`

`sqrt 3 x [ sqrt3x - sqrt 2] - sqrt 2[sqrt3x-sqrt2] = 0`

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