sqrt(1+sqrt(1+sqrt(7+sqrt(7+))))

If sqrt (7 sqrt (7 sqrt7 sqrt7 sqrt7)) = 7 ^(x) then find the value of x

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

(1)/(sqrt(2)+sqrt(5)-sqrt(7))

Find the solution of sqrt(7+sqrt(7+sqrt(7+sqrt(7................)))).

a) sqrt7 sqrt7 = b) sqrt7 + sqrt7 =

(1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7)))

Evaluate : (1)/(3-sqrt(8)) -(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2).