Solve each of the following quadratic equations:

3x² – 2√6x + 2 = 0

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

Product = a.c

For the given equation a = 3; b = -2√(6;) c = 2

= 3.2 = 6

And either of their sum or difference = b

= -2√6

Thus the two terms are -√6 and -√6

Sum = -√6 -√6 = -2√6

Product = -√6. -√6 = -6 6 = √6. √6

(On using 3 = √3.√3 and √6 = √3 √2)

Equation has repeated roots