# Square Roots and Radicals 7

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

In this lesson, students learn a new technique for multiplying square roots with larger numbers. By looking for common factors in each number and rearranging them accordingly, students can simplify the calculation and make it easier to identify perfect squares. This method can also be applied to variables in the numbers. The lesson provides several examples to demonstrate the technique, ultimately showing students several ways to approach problems and choose the best method to suit their individual learning style.

Lesson Description:

A revisiting of multiplying square roots, but this time with much larger numbers and a new technique.

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

• How do you multiply square roots when the numbers are very large?
• How do you multiply square roots of numbers without multiplying the numbers together first?
• How do you multiply and simplify the square root of 21 and the square root of 14?
• How do you multiply and simplify sqrt(35)*sqrt(55)?
• What does sqrt(22x^3)*sqrt(33x) simplify to?
• How would you multiply and simplify three square roots like sqrt(6x^3)*sqrt(2x^5)*sqrt(5x^7)?
• What does sqrt(12x^3)*sqrt(3x) equal?
• How do you multiply -3x^2*sqrt(10)*5*sqrt(30)?
• #### Staff Review

• Currently 4.0/5 Stars.
This is a revisiting of multiplying square roots and simplifying. However, the numbers in the square roots in this lesson are much larger than before, so a new technique is used to simplify these problems. Instead of multiplying the numbers off the bat, the square roots are first broken down into prime factors and then multiplied and simplified. Problems with numbers as well as variables and exponents are simplified.