Question 199278
I'm assuming that the given equation is {{{a=sqrt((1+a^2)/(b^2))}}}.



{{{a=sqrt((1+a^2)/(b^2))}}} Start with the given equation.



{{{a^2=(1+a^2)/(b^2)}}} Square both sides



{{{a^2b^2=1+a^2}}} Multiply both sides by {{{b^2}}}.



{{{b^2=(1+a^2)/(a^2)}}} Divide both sides by {{{a^2}}}.



{{{b=""+-sqrt((1+a^2)/(a^2))}}} Take the square root of both sides



So the solutions are {{{b=sqrt((1+a^2)/(a^2))}}} or {{{b=-sqrt((1+a^2)/(a^2))}}}