All High School Math Resources
Example Questions
Example Question #1 :Imaginary Numbers
Simplify the radical.
No solution
First, factor the term in the radical.
Now, we can simplify.
Example Question #2 :Imaginary Numbers
Multiply:
FOIL:
Example Question #3 :Imaginary Numbers
Multiply:
Sinceandare conmplex conjugates, they can be multiplied according to the following pattern:
Example Question #4 :Imaginary Numbers
Multiply:
Sinceandare conmplex conjugates, they can be multiplied according to the following pattern:
Example Question #5 :Imaginary Numbers
Evaluate:
can be evaluated by dividingby 4 and noting the remainder. Since- that is, since dividing 45 by 4 yields remainder 1:
Example Question #6 :Imaginary Numbers
Evaluate:
Example Question #1 :Imaginary Numbers
What is the absolute value of
The absolute value is a measure of the distance of a point from the origin. Using the pythagorean distance formula to calculate this distance.
Example Question #8 :Imaginary Numbers
Which of the following is equivalent to:
Recall that.
Then, we have that.
Note that we used the power rule of exponents and the order of operations to simplify the exponent before multiplying by the coefficient.
Example Question #2 :Imaginary Numbers
Simplify the expression.
None of the other answer choices are correct.
Combine like terms. Treatas if it were any other variable.
Substitute to eliminate.
Simplify.
Example Question #10 :Imaginary Numbers
Which of the following is equivalent to?
None of the other answer choices are correct.
Recall the basic property of imaginary numbers,.
Keeping this in mind,.
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