Learn How To Multiply Radicals - KATE'S MATH LESSONS

Home » How To Multiply A Radical » Learn How To Multiply Radicals - KATE'S MATH LESSONS

Maybe your like

KATE'S MATH LESSONS
  • Home
  • LESSONS
    • Pre-Algebra
    • Algebra 1
    • Geometry
    • Algebra 2
  • About
  • Contact
  • Blog
  • Shop
  • Home
  • LESSONS
    • Pre-Algebra
    • Algebra 1
    • Geometry
    • Algebra 2
  • About
  • Contact
  • Blog
  • Shop

Multiplying Radicals

Accompanying Resource:Multiplying Radicals Boom Cards (digital activity) Picture

How Do You Multiply Radicals?

When determining how to multiply radicals together, you need to use the same property that you use to simplify radicals, except in reverse. To simplify a radical, you used this property to split up a radical into two separate radicals. Picture ​This property can also be used to multiply radicals together. When two radicals are multiplied together, you can combine them into one. ​

Example 1

How do you multiply radicals together? To multiply two radicals together, you can first rewrite the problem as one radical. The two numbers inside the square roots can be multiplied together under one square root. Simplify what's inside the radical to write your final answer. How do you multiply radicals together?

​Example 2

How to multiply radicals together. First, combine the two into one radical. Picture In this case, we can't leave the answer as the square root of 12. It's important to make sure that your answer is simplified. Look for factors of perfect squares (4, 9, 16, etc.) that you can pull out and simplify. Make sure to check out our lesson on simplifying radicals if you need a refresher on how to do this step. Picture
Picture
Welcome to Kate's Math Lessons! Teachers,make sure to check out the study guides and activities. Picture

Example 3

How do you multiply radical expressions together? The 2 and the 7 are just constants that being multiplied by the radical expressions. We know from the commutative property of multiplication that the order doesn't really matter when you're multiplying. This means we can rearrange the problem so that the "regular" numbers are together and the radicals are together. How to multiply two radical expressions together.

Practice

Ready to try a few problems on your own? Click the START button below to try a practice quiz.

Powered by Interact
Want to try one of my digital math activities for free? Click the link to grab the teacher version or student version.

Home

About

Privacy Policy

Lessons

Contact
Copyright © 2015 - 2021 Kate's Math Lessons

Tag » How To Multiply A Radical