This week in Pre- Cal 11 I learned about Absolute Value and Radicals.
Absolute Value of a real number is defined as the principle square root of the square of a number, Principle Square Root is always a positive number, Square of a number is 
but is you have ![\sqrt[2]{25}=5](http://s0.wp.com/latex.php?latex=%5Csqrt%5B2%5D%7B25%7D%3D5&bg=ffffff&fg=000000&s=0 "\sqrt[2]{25}=5")
it is always a positive number in absolute value so it would be for both 
. Absolute value is always the distance from zero.
When using Roots & Radicals: the ![\sqrt [root]{radicand}](http://s0.wp.com/latex.php?latex=%5Csqrt+%5Broot%5D%7Bradicand%7D&bg=ffffff&fg=000000&s=0 "\sqrt [root]{radicand}")
the number in front of the root is the coefficient. if you have a square root it is always a positive in the radicand and the index is always a 2. If you have a cute root it is either negative or positive in the radicand and the index is always 3. The higher roots can be ![\sqrt [4]{positive}](http://s0.wp.com/latex.php?latex=%5Csqrt+%5B4%5D%7Bpositive%7D&bg=ffffff&fg=000000&s=0 "\sqrt [4]{positive}")
![\sqrt [5]{positive/negative}](http://s0.wp.com/latex.php?latex=%5Csqrt+%5B5%5D%7Bpositive%2Fnegative%7D&bg=ffffff&fg=000000&s=0 "\sqrt [5]{positive/negative}")
![\sqrt [6]{positive}](http://s0.wp.com/latex.php?latex=%5Csqrt+%5B6%5D%7Bpositive%7D&bg=ffffff&fg=000000&s=0 "\sqrt [6]{positive}")