We have , √3x2−√2x+3√3 = 0
Comparing the given equation with the general form ax2 + bx + c = 0,
we get a = √3 , b = −√2 , c = 3√3
∴ x =

−b±√b2−4ac

2a

=

−(−√2)±√(−√2)2−4×√3×3√3

2√3

=

√2±√2−36

2√3

=

√2±√−34

2√3

=

√2±i√34

2√3

∴ Roots of the given equation are

√2+i√34

2√3

and

√2−i√34

2√3