sq root of x^3 is = x sq root x. absolute value is not needed because if x<0, then sq root of x^3 has no real roots. Therefore you must assume that x is greater than or = to 0. The general rule is an even root with an odd power will not require absolute value since the radicand must be positive in order to have a real root. Another example would be sq root of x^5. This one does not need absolute value.
sq root of x^3 is = x sq root x. absolute value is not needed because if x<0, then sq root of x^3 has no real roots. Therefore you must assume that x is greater than or = to 0. The general rule is an even root with an odd power will not require absolute value since the radicand must be positive in order to have a real root. Another example would be sq root of x^5. This one does not need absolute value.
mysharks 1 month ago
Thanks soooo much...I was pretty much despairing over my homework until I found this...you just saved my day... :)))))
xFirebird925x 3 months ago
doesn't the -8 have to have parenthesis too ? o;
strawberry0gurt 4 months ago
Excellent job. This is very helpful. This topic isn't well documented but you've brought the subject to a new light. Thank you.
pilate10 1 year ago 2
Even root=odd power=absolute value thanks!!
Acontador13 1 year ago
Comment removed
Acontador13 1 year ago