Operations with Complex Numbers

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Presentation transcript:

Operations with Complex Numbers Radicals Operations with Complex Numbers

Remember … Simplify: 1. 2x + 3y – x + y = x + 4y 2. (x + 3)(x – 3) = x2 – 3x + 3x - 9 = x2 – 9 3. ( ) 4. i2 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

Add Complex Numbers Adding complex numbers is similar to adding polynomials. Find the sum of 4 + 2i and 2 – 5i. Keep the real numbers together, keep the imaginary numbers together. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

Graph 4 + 2i + 2 - 5i 6 - 3i Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

Subtract Complex Numbers Subtracting complex numbers is similar to subtracting polynomials. − − ( ) + Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

Multiply Complex Numbers Multiplying complex numbers is similar to multiplying polynomials. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

The Complex Conjugate The complex conjugate is similar to the radical conjugate. ( ) Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.

Divide Complex Numbers Dividing complex numbers is similar to Hey … we just divided complex numbers. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify.