1. Radicals and Complex Numbers N-CN.1 Know there is a complex number i such that i 2 = –1, and every complex number has the form a + bi with a and b real. N-CN.2 Use the relation i 2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

2. Simplifying Radicals The number underneath the radical symbol is called the radicand To simplify: Write out all of the prime factors of the radicand Remove numbers from the radical based on the root If there is a number in front of the radical (coefficient) MULTIPLY that number by the number(s) that are removed from the radical

3. Simplifying Radicals

4. Simplifying Negative Radicals (Imaginary Numbers)

5. Complex Numbers