If `a^2- b^2=13` where a and b are natural numbers, then value of a is

If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0 , where a and b are real numbers, then the value of a+b is equal to

if lim_(x->0)(1+a x)^(b / x)=e^2, where a and b are natural numbers, then

If a and b are positive integers such that N=(a+ib)^(3)-107i (where N is a natural number), then the value of a is equal to (where i^(2)=-1 )

If a and b are positive integers such that N=(a+ib)^(3)-107i (where N is a natural number), then the value of a is equal to (where i^(2)=-1 )

If (3-2sqrt(5))/(6-sqrt(5))=a+bsqrt(c) where a and b are rational numbers, then what are the values of a and b ?

sqrt(a^(2)-6a sqrt(2)+19)+sqrt(b^(2)-4b sqrt(3)+16)<=3 where a and b are real numbers find the value of (a^(2)-b^(2))

if lim_(x rarr0)(1+ax)^((b)/(x))=e^(2), where a and b are natural numbers,then

a,b are postive reals such that (1)/(a)+(1)/(b)=(1)/(a+b) if ((a)/(b))^(3)+((b)/(a))^(3)=2sqrt(n) where n is a natural number the value of n is

sqrt(4+sqrt(8-sqrt(32+sqrt(768))))=a sqrt(2)(cos(11 pi))/(b) where a and b are natural numbers then (b)/(a) is divisible by