the qoutient rule of radicals
Is the domain of sqrt(f/g) = the domain of sqrt(f)/sqrt(g)
asking this question because of the limit of sqrt(x^2-1)/sqrt(x-1) when x goes to 1 =sqrt(2)
while in the 2nd case does not exists,
as teachers how can we convince our students not to apply the cautient rule of radicals when they taking the limits.