The same way as with a positive denominator. The difference is, you change the sign of the numerator.
To eliminate the radical in the denominator.
because of mathematical equivalence: it doesn't change the result
Yes. The original denominator and its conjugate will form the factors of a Difference of Two Squares (DOTS) and that will rationalise the denominator but only if the radicals are SQUARE roots.
Both the numerator and denominator are polynomials
Can you change a denominator
The denominator will change for some operations and not for others.
No.
The same way as with a positive denominator. The difference is, you change the sign of the numerator.
No.
Divide the numerator by the denominator.
Divide the denominator into the numerator.
numerator
you divide the denominator by the numerator!
You divide the numerator by the denominator.
Divide the numerator by the denominator
Simply change the numerator and you will have another - different - fraction wit the same denominator.