For the given equation 2x2 - 6x + 3 = 0
a = 2 b = - 6 c = 3
D = b2 - 4ac
= ( - 6)2 - 4.2.3
= 36 - 24 = 12 > 0 this is not a perfect square hence the roots of the equation are real, unequal and irrational
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