How Do You Multiply Two Radicals?

How Do You Multiply Two Radicals?

Note:

To multiply radicals, you can use the product property of square roots to multiply the contents of each radical together. Then, it's just a matter of simplifying! In this tutorial, you'll see how to multiply two radicals together and then simplify their product. Check it out!

Keywords:

  • problem
  • multiply
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  • multiply square roots
  • multiply roots
  • roots
  • root
  • square root
  • square roots
  • product property
  • product property of square roots
  • absolute value
  • product
  • factor
  • factors
  • variable
  • variables
  • radical
  • radicals
  • simplify
  • simplest radical form
  • simplify radicals
  • multiplication

Background Tutorials

  • Factors and Greatest Common Factor

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Definitions and Properties of Square Roots

      • What is the Product Property of Square Roots?What is the Product Property of Square Roots?

      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!

      • What's a Perfect Square?What's a Perfect Square?

      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.

  • Exponent Rules and Monomials

      • How Do You Multiply Monomials?How Do You Multiply Monomials?

      How Do You Multiply Monomials?

      Multiplying monomials? Group constants and like variables together before you multiply. See how to find the product of three monomials in this tutorial.