(sqrt(11)-sqrt(7))/(sqrt(11)+sqrt(7))=a-b sqrt(77)

In each of the following determine rational number a\ a n d\ b : (i)\ (sqrt(11)-sqrt(7))/(sqrt(11)+\ sqrt(7))=a-bsqrt(77) (ii)\ (4+3sqrt(5))/(4-3sqrt(5))=a+bsqrt(5)

If (3sqrt(5)-6sqrt(7))-(2sqrt(5)-11sqrt(7))=asqrt(5)+bsqrt(7), then find the values of a and b.

If (3sqrt(5)-6sqrt(7))-(2sqrt(5)-11sqrt(7))=asqrt(5)+bsqrt(7), then find the values of a and b.

Which is the greatest among (sqrt(19)-sqrt(17)),(sqrt(13)-sqrt(11)),(sqrt(7)-sqrt(5)) and (sqrt(5)-sqrt(3))?

Which is the greatest among (sqrt(19)-sqrt(17)),(sqrt(13)-sqrt(11)),(sqrt(7)-sqrt(5)) and (sqrt(5)-sqrt(3))?

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

(sqrt(7)+1)/(sqrt(7)-1)-(sqrt(7)-1)/(sqrt(7)+1)=a+b sqrt(7)

Simplify (sqrt(13)-sqrt(11))/(sqrt(13)+sqrt(11)) + (sqrt(13)+sqrt(11))/(sqrt(13)-sqrt(11))

Evaluate : (sqrt(11)-sqrt(7))/(sqrt(11)+sqrt(7))