# Square Roots and Radicals 4

Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson on square roots and radicals, the focus is on multiplying square roots and simplifying the result. The multiplication property for square roots is explained, and examples are given to illustrate how to apply it. Additionally, the lesson previews how to simplify square roots of non-perfect squares by factoring them into perfect squares and other factors. With practice, students will gain confidence in multiplying and simplifying square roots, making more complex math problems easier to solve.

Lesson Description:

Learn to multiply square roots together and simplify the result, including some variable expressions inside the square root.

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

• What is sqrt(3)*sqrt(7)?
• How do you multiply square roots?
• What is the difference between sqrt(x^2) and (sqrt x)^2?
• What happens if you square a square root?
• What is sqrt(7)*sqrt(7)?
• What is the multiplication property for square roots?
• What is sqrt(2)*sqrt(8) and how do you simplify it?
• How do you multiply two square roots with variables and exponents?
• How do you multiply and simplify sqrt(2x^3) * sqrt(18x^5)?
• How can you break down and simplify the square root of 8?
• Why does the square root of 8 equal 2 times the square root of 2?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson introduces the idea of multiplying two square roots together and then simplifying the answer if possible. The concept of multiplying two identical square roots together is also shown. Some examples of multiplying square roots include variable expressions. This is a great bridging into some more complicated concepts involving square roots.