sqrt(7-2sqrt(6))

If a=(sqrt(7)-sqrt(6))/(sqrt(7)+sqrt(6)) and b=(sqrt(7)+sqrt(6))/(sqrt(7)-sqrt(6)), then find the value of a^(2)+b^(2)+ab

If a=(sqrt(7)-sqrt(6))/(sqrt(7)+sqrt(6)) and b=(sqrt(7)+sqrt(6))/(sqrt(7)-sqrt(6)), then find the value of a^(2)+b^(2)+ab

Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5 .

Rationalise the denominator of (sqrt(7)-sqrt(6))/(sqrt(7)+sqrt(6))

Rationalise the denominators of the following : i) (1)/(3+sqrt(2)) ii) (1)/(sqrt(7)-sqrt(6)) iii) (1)/(sqrt(7)) iv) (sqrt(6))/(sqrt(3)-sqrt(2))

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

Simplify by raationalising the denominator. (i) (7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)) (ii) (2sqrt(6) -sqrt(5))/(3sqrt(5)-2sqrt(6))