How Do You Rationalize a Denominator?

How Do You Rationalize a Denominator?

Note:

When you have a fraction with a radical in the denominator, you need to get that radical out of the denominator in order to simplify that fraction. That means you need to rationalize the denominator! In this tutorial, see how to rationalize the denominator in order to simplify a fraction.

Keywords:

  • problem
  • radical
  • radicals
  • rationalize
  • rationalize denominator
  • multiply
  • multiply radicals
  • simplify
  • simplest radical form
  • denominator
  • fraction
  • fractions
  • product property
  • product property of square roots

Background Tutorials

  • Multiplying Fractions

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      How Do You Multiply Fractions?

      Working with fractions can be intimidating, but if you arm yourself with the right tools, you'll find that working with fractions is no harder than working with basic numbers. In this tutorial you'll see the process for multiplying 3 very simple fractions. Enjoy!

  • Fractions

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      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Definitions and Properties of Square Roots

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      What is the Product Property of Square Roots?

      The product property of square roots is really helpful when you're simplifying radicals. This property lets you take a square root of a product of numbers and break up the radical into the product of separate square roots. Check out this tutorial and learn about the product property of square roots!

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      What's a Perfect Square?

      Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!

  • Working with Square Roots

      • How Do You Find the Square Root of a Perfect Square?How Do You Find the Square Root of a Perfect Square?

      How Do You Find the Square Root of a Perfect Square?

      Taking the square root of a perfect square always gives you an integer. This tutorial shows you how to take the square root of 36. When you finish watching this tutorial, try taking the square root of other perfect squares like 4, 9, 25, and 144.

  • Square Roots

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      What Happens When You Square a Square Root?

      Remember that addition and subtraction are opposite operations and multiplication and division are opposite operations? Turns out, squaring and taking the square root are opposite operations too! See why in this tutorial!