When we work with fractions that contain radicals in the denominator, it’s often necessary to “rationalize” the denominator. Rationalizing the denominator is the process of eliminating the radical expression in the denominator. To do this, we multiply the fraction by a form of one that will eliminate the radical. This collection of worksheets is designed to help students practice this technique and become comfortable with manipulating expressions involving radicals.
How to Rationalize the Denominator
Before diving into the worksheets, let’s review the steps to rationalize the denominator:
- Identify if the denominator is a monomial (a single term) or a binomial (two terms).
- If it’s a monomial, multiply the numerator and the denominator by the radical in the denominator.
- If it’s a binomial, use the conjugate of the denominator to multiply the numerator and the denominator.
- Simplify the expression if possible.
These worksheets are suitable for students who are just learning about radicals, as well as those who are reviewing algebraic concepts. They can be used in a classroom setting, for homework, or for additional practice at home. By working through these problems, students will become more comfortable with radicals and improve their algebra skills overall.