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Complex Numbers
Tips needed to solve complex numbers
Question | Answer |
---|---|
How are a set of complex numbers defined when including the imaginary unit? | the imaginary unit can written as i |
what is the value of imaginary i when in squared form? | when in form i squared is equal to -1 |
To multiply square roots what must we do first? | to multiply square roots you must write each numerator in the form of the imaginary unit i |
what is complex number standard form? | a+bi |
In the equation a+bi are a and b real numbers? | yes |
Complex numbers are equal when? | a=c and b=d |
Can(a+c) be added to (b-d) in a complex number equation? | No, only (a+c) or (a-c) can be combined or subtracted because they are both real numbers. Only(b+d)or(b-d) can be combined or subtracted because they are alike in terms. |
How should complex numbers be multiplied? | they should be handled like binomials |
What is used to divide complex numbers? | Complex conjugates |
what is form of complex numbers? | (a+bi) or (a-bi) |
What is (a+bi)(a-bi) when being treated as a binomial? | a squared added to b squared |
what is the main goal when dividing complex numbers? | you want to eliminate the imaginary unit in the denominator. |
How can division problems be checked? | you can always see if you have the right answer by multiplying your products. |