Final answer:
Option (A), To simplify binomials with square roots in the denominator, such as 'a-sqrt(b)', use the technique of Rationalizing the denominator by multiplying by the conjugate.
Step-by-step explanation:
To simplify binomials like a-sqrt(b), a+sqrt(b), sqrt(a)+b, sqrt(a)-b, and sqrt(a)+-sqrt(b) that are in the denominator, you would use Rationalizing the denominator. This process involves multiplying the numerator and the denominator by a conjugate or a suitable expression that will eliminate the square root from the denominator.
For example, if you have a+sqrt(b) in the denominator, you would multiply both the numerator and denominator by a-sqrt(b), which is the conjugate of the original denominator.
When you multiply the numerators together and multiply the denominators together, remember to simplify by any common factors as needed. Furthermore, understanding how to manipulate powers and roots, like converting x² to √x, is crucial in simplifying expressions involving square roots. Always ensure the final expression is in its simplest form.