Algebra II : Imaginary Numbers
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #1 : How To Add Integers
Add:
When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.
Adding the real parts gives 
Example Question #31 : Number Lines And Absolute Value
Divide:
The answer must be in standard form.
Multiply both the numerator and the denominator by the conjugate of the denominator which is 
The numerator after simplification give us
The denominator is equal to
Hence, the final answer in standard form =
Example Question #1 : Complex Numbers
Divide:
Answer must be in standard form.
Multiply both the numerator and the denominator by the conjugate of the denominator which is 
This is equal to
Since 
When you then cancel the negatives in both numerator and denominator (remember that 
Example Question #1 : Complex Numbers
Evaluate:
Use the FOIL method to simplify. FOIL means to mulitply the first terms together, then multiply the outer terms together, then multiply the inner terms togethers, and lastly, mulitply the last terms together.
The imaginary 
Write the terms for 
Replace 
Example Question #4691 : Algebra Ii
What is the value of 
We know that 
Example Question #3 : Complex Numbers
The answer is not present.
Combine like terms:
Distribute:
Combine like terms:
Example Question #4692 : Algebra Ii
Example Question #4 : Complex Numbers
Rationalize the complex fraction:
To rationalize a complex fraction, multiply numerator and denominator by the conjugate of the denominator.
Example Question #4 : Complex Numbers
Rationalize the complex fraction:
To rationalize a complex fraction, multiply numerator and denominator by the conjugate of the denominator.
Example Question #11 : Basic Operations With Complex Numbers
Multiply:
Distribute:
combine like terms:
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