# Rationalizing Denominators Worksheets

How to Rationalize Denominators That Contain Radicals - Fractions are easy to solve, be it addition, subtraction, multiplication, or even division. But do you know how to work with fractions that have radicals in their denominators, yes! You rationalize it. Any mathematical expression with radicals, powers, or any other crazy-looking sign can freak students out, but fractions with radicals are not something that should scare you. Rationalizing is only done in a case when the number within the radical is not a perfect square. Follow these simple steps, and you will know exactly what to do! Before you start rationalizing, make sure you have simplified the radical. The first step is to multiply the numerator as well as denominator with a radical that can help you get rid of the radicals in the denominator. Simplify the fraction Now, what if you are dealing with an expression in the denominator with a radical? Instead of multiplying both numerator ad denominator with a radical, you multiply both with the conjugate of the expression. What is conjugate? Consider you have an expression; 5 + √2, the conjugate of this expression will be; 5 - √2.

• ### Basic Lesson

Guides students solving equations that involve rationalizing denominators. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of rationalizing denominators.

• ### Independent Practice 2

Students find a series of rationalizing denominators in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of rationalizing denominators.

• ### Skill Quiz

This tests the students ability to evaluate rationalizing denominators.

• ### Answer Key

Answers for math worksheets, quiz, homework, and lessons.

#### The Words of Charles Darwin...

A mathematician is a blind man in a dark room looking for a black cat which isn't there.