(2sqrt(6)-sqrt(5))/(3sqrt(6)-2sqrt(6))=a+b sqrt(30)

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

Find the values of a and b . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)= a +b sqrt(30 )

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

(sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=2-b sqrt(6) find b

(sqrt(6)+sqrt(3))/(sqrt(5)+sqrt(2))

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

If a and b are rational numbers and (sqrt(2)+2sqrt(3))/(2sqrt(2)+sqrt(3))=a+b sqrt(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

(3-sqrt(6))/(3+2sqrt(6))=a sqrt(6)-b