# Pre-Calculus, Week 3

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 $\sqrt{25} = 5$ but is you have $\sqrt[2]{25}=5$ it is always a positive number in absolute value so it would be for both $\mid 5\mid$ . Absolute value is always the distance from zero.

When using Roots & Radicals: the $\sqrt [root]{radicand}$ 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 $\sqrt [4]{positive}$  $\sqrt [5]{positive/negative}$  $\sqrt [6]{positive}$