SOLUTION: Hello! I have these few problems and just want to make sure I have them correct. 1. Find the root if it is a real number: Square Root -561 Is this defined as NOT A REAL NUM

Question 338554: Hello!
I have these few problems and just want to make sure I have them correct.
1. Find the root if it is a real number:
Square Root -561
Is this defined as NOT A REAL NUMBER?
2. Find the root if it is a real number:
Index is 4 and negative sign is outside the root
With 81 as the square root inside
Is this defined as -3?
3. Simplify the root.
Negative on the outside, square root x^28
Is this defined as -x^14?
or is it defined as |-x^14|?
4. Simplify the first converting to rational exponents. Assume that all variables represent positive real numbers.
Square Root z^28
Is this defined as z^14?
I'm confuse on whether it will be an absolute value with | | or divide them by 2?
Thank you!

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Find the root if it is a real number:
Square Root -561
Is this defined as NOT A REAL NUMBER?
-561 is a real number

= All you can do.
----------------------
2. Find the root if it is a real number:
Index is 4 and negative sign is outside the root
With 81 as the square root inside
Is this defined as -3?
81 is a real number, and it have 4 4th roots.
= � and �
= � 3 and � 3i
--------------
3. Simplify the root.
Negative on the outside, square root x^28
Is this defined as -x^14?
or is it defined as |-x^14|?
Just -x^14
-------------
4. Simplify the first converting to rational exponents. Assume that all variables represent positive real numbers.
Square Root z^28
Is this defined as z^14?
It is.
----------
I'm confuse on whether it will be an absolute value with | | or divide them by 2? No absolute values involved.

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