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.

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Presentation transcript:

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.

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

Simplifying Radicals

Simplifying Negative Radicals (Imaginary Numbers)

Complex Numbers