Solve the following:
`1/(sqrt7 - sqrt6)`

(1)/(sqrt(7)-sqrt(6))

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)+sqrt(6)-sqrt(13)) (ii) (3)/(sqrt(3)+sqrt(5) -1) (iii) (4)/(2-sqrt(3)+sqrt(7))

Evaluate the following: (sqrt(x+1)+sqrt(x-1))^(6)+(sqrt(x+1)-sqrt(x-1))^(6)

Rationalise the denominators of the following (a) 1/(3+sqrt2) (b) 1/(sqrt7-sqrt6)

Rationalise the denominators of the following: (i) 1/(sqrt(7)) (ii) 1/(sqrt(7)-sqrt(6)) (iii) 1/(sqrt(5)+sqrt(2)) (iv) 1/(sqrt(7)-2)

Solve the following quations by using qardratic formula: sqrt6x^(2)-4x-2sqrt6=0

1/(sqrt7+sqrt6-sqrt13)=

Solve the following quadratic equation by factorisation method: (xviii) 6sqrt(3)x^2+7x=sqrt(3) .