# Rationalize Denominators Worksheets

How to Rationalize Geometric Denominators - The concept of rationalizing denominators is important to understand. Since it is unconventional to have a radical in a denominator. If that happens, even the calculator removes the radical. The answer is still correct, but it is not in the simplest of forms; thus, can cause your marks. Moreover, it becomes simpler to solve further equations if we are given a lengthy problem. Now, let us take an example. For instance, you are given 1/√2 and you have to rationalize the denominator. The first step is to multiply both top and bottom with the root value. In this scenario, the answer is: 1/√2 × √2/√2. √2/2 However, if you have a radical expression in the denominator, you need to take the conjugate of that expression. Let’s take another example, i.e. 1/(√x+3). 1/(√x + 3) × (√x - 3)/ (√ x- 3) (√x + 3) / (√x + 3 × √x - 3) √(x - 3)/(x - 9)

• ### Basic Lesson

Guides students through solving Rationalize Denominators.

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving Rationalize Denominators.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Rationalize Denominators.

• ### Independent Practice 2

Students use Rationalize Denominators in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Rationalize Denominators.

• ### Skill Quiz

This tests the students ability to understand Rationalize Denominators.