Rationalizing Denominators

Rationalizing denominators is a process used to remove radicals (square roots, cube roots, etc.) from the denominator of a fraction.
This process is particularly useful when simplifying expressions or solving equations involving radicals. Here's how it works:
Single Term Denominators: If the denominator contains only one term with a radical, you can multiply both the numerator and denominator by the conjugate of the denominator.
The conjugate of a binomial is obtained by changing the sign between the terms.
Multiple Term Denominators: If the denominator contains multiple terms with radicals, you may need to use additional algebraic techniques to simplify.
One common approach is to multiply both the numerator and denominator by a suitable expression that eliminates the radical from the denominator.
This could involve multiplying by a conjugate or employing other algebraic manipulations.