if `B=12/(3+sqrt5+sqrt8)` and `A=sqrt1+sqrt2+sqrt5-sqrt10` then value of `log_AB` is

If B=(12)/(3+sqrt5+sqrt8)andA=sqrt1+sqrt2+sqrt5-sqrt10, then value of log_(A)B is

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))

If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the value of (5a^(2) -3ab +5b^(2))

Prove that (12)/(3 + sqrt5 - 2 sqrt2) = 1 + sqrt5 + sqrt10 - sqrt2