# Square Roots and Radicals 14

Taught by YourMathGal
• Currently 4.0/5 Stars.
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In Square Roots and Radicals 14, students learn how to multiply square roots using the distributive property and two binomials using the FOIL method. The video covers various techniques for factoring and simplifying expressions with square roots, including squaring binomials containing square roots. Students will also learn how to recognize the difference between multiplying and squaring binomials with square roots, which will prepare them for future lessons on dividing with radicals.

Lesson Description:

Square Roots and Radicals Part 14 covers multiplying with square roots using the distributive property and multiplying two binomials using the FOIL method. Includes squaring binomials containing square roots.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• How do you multiply radical expressions?
• How do you distribute a radical expression into parentheses with radical expressions inside?
• How do you multiply 2sqrt(14)*(3sqrt(21) - 8sqrt(35))?
• How do you know when can you add or subtract radical expressions?
• How do you multiply two binomials with radical expressions using the FOIL method?
• How would you multiply (2sqrt(3) - sqrt(5))*(sqrt(3) + 3sqrt(5))?
• How can you square a binomial with a radical expression?
• How would you multiply (5 + 2*(square root of 7))^2?
• How do you multiply (3 - sqrt(5))(3 + sqrt(5))?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson picks up where the previous lesson left off. You will get more practice with example problems of multiplying and distributing radical expressions in this lesson. The numbers are a bit larger this time and problems are a bit more difficult in general, but the methods are the same. This is a very good tutorial for those who need more practice. Also, some special cases of multiplying binomials with radical expressions are shown.