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 = 10; c = 7√3

= √3.7√3 = 21

(using 3 = √3×√3)

And either of their sum or difference = b

= 10

Thus, the two terms are 7 and 3

Sum = 7 + 3 = 10

Product = 7.3 = 21

(using )

Roots of equation are