If `a=3(sqrt(8+2sqrt7)-sqrt(8-2sqrt7)),b=sqrt(((42)(30)+(36))` then the value of `log_a` b is equal to

If a=sqrt(7+sqrt(7^(2)-1)),b=sqrt(7sqrt(7^(2))1, then ) the value of log_(a)b is equal to

If a=sqrt(6+2sqrt(5))-sqrt(6-2sqrt(5)),b=^(3)sqrt(17sqrt(5)+38)-^(3)sqrt(17sqrt(5)-38) then the value of log_(a)b is equal to

If A=log_(sqrt(3))(sqrt(3sqrt(3sqrt(3sqrt(3)))))* then the value of log_(sqrt(2))(8A+1) is equal to

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

If x= sqrt(-sqrt3+ sqrt(3+8 sqrt(7+4 sqrt3))) where x>0, then the value of x is equal to: यदि x= sqrt(-sqrt3+ sqrt(3+8 sqrt(7+4 sqrt3))) तो x का मान ज्ञात करे: जहा x>0

if B=(12)/(3+sqrt(5)+sqrt(8)) and A=sqrt(1)+sqrt(5)+sqrt(8)-sqrt(10) then value of log_(A)B is

(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))+(sqrt(8)+sqrt(7))/(sqrt(8)-sqrt(7))-(sqrt(8)-sqrt(7))/(sqrt(8)+sqrt(7))=a+b sqrt(14) Find the value of (a-b) (a) 8, (b) 16 (c) 4, (d) 0

[(5sqrt(7)+sqrt(7))+)4sqrt(7)+8sqrt(7))]-(19)^(2)=?