# Square Roots and Radicals 10

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

Part 10 of Square Roots and Radicals covers higher order roots including roots of negative numbers.

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

• Why does the nth root of b^n equal |b| if n is even?
• Why do you have to use absolute value signs when finding roots of variables?
• Why is the fourth root of m^4 equal to |m|?
• What is the cube root of -8?
• What is the fourth root of (-2)^4?
• Why is the even root of a negative number not a real number?
• Why can you take an odd root of a negative number but not an even root?
• How do you simplify the cube root of -250x^6y^10?
• How do you simplify the square root of 45x^3y^9 if variables can be positive or negative?
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This lesson revisits the idea of taking an even root of a variable to an even exponent. This time, we will no longer assume that the variable is positive. Therefore, absolute value signs are used to force the answer to be positive. Some very good ideas are covered and explained in this lesson. This idea of writing an absolute value sign in the solution to a radical expression is very important and can be very confusing. This is a must-watch for this concept.