Using splitting middle term, the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation

using

=

And either of their sum or difference = b

=

Thus the two terms are

Difference =

Product = = - 6

√3 x(x-√6) + √2(x-√6) = 0

(√3 x + √2)(x-√6) = 0

(√3 x + √2) = 0 or (x-√6) = 0

Hence roots of equation are