. Goals: Simplify numbers of the form Perform operations on complex numbers. Imaginary Numbers: and For any number b, Simplify using imaginary numbers. Practice: 1) 2) 3) 4) 5) Note: It is customary to write the before the radical so that is not confused with i where is under the radical. i When finding products like we must convert to form first because i Therefore Practice: 1) 2) 3) 4) 5) Complex Numbers: If and are real numbers, then any number of the form: a b is called a complex number. is the real part and is the imaginary part. a +bi a b Since is a square root, all operations follow the same rules used for simplifying i radical expressions. Add: 1) (4 + 5i) + (7 + 3i) 2) (-2 + i) + (5 7i) –
Goals: Simplify numbers of the form . Perform operations on complex numbers. Imaginary Numbers: and For any number b, Practice: Simplify using imaginary numbers. 1) 2) 3) 4) 5) Note: It is customary to write the i before the radical so that is not confused with where i is under the radical. When finding products like we must convert to i form first because Therefore Practice: 1) 2) 3) 4) 5) Complex Numbers: If a and b are real numbers, then any number of the form: a +bi is called a complex number. a is the real part and b is the imaginary part. Since i is a square root, all operations follow the same rules used for simplifying radical expressions. Add: 1) (4 + 5i) + (7 + 3i) 2) (-2 + i) + (5 – 7i)