Algebra II : Basic Operations with Complex Numbers
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Example Questions
Example Question #41 : Basic Operations With Complex Numbers
Multiply:
Use the distributive property to multiply:
Recall that
so that you get
which gives you a final answer of
Example Question #42 : Basic Operations With Complex Numbers
Evaluate:
In order to solve this, we will need to convert the imaginary terms.
Recall that 
Replace the values with the imaginary terms.
The answer is:
Example Question #4721 : Algebra Ii
Simplify:
The negative terms inside the square roots will be imaginary.
The term, 
Rewrite the terms using this as the common factor so that we can replace 
Replace the terms and simplify the square roots.
The answer is:
Example Question #2061 : Mathematical Relationships And Basic Graphs
Solve:
Evaluate each imaginary term. The value of 
Evaluate 
Combine and subtract the two terms.
The answer is:
Example Question #2063 : Mathematical Relationships And Basic Graphs
This problem requires you to use FOIL to multiply the binomials.
Multiply the first terms
then the outside terms
next the inside terms
and finally the last terms
Put those together to get
Recall that
Therefore, your answer is
Example Question #2064 : Mathematical Relationships And Basic Graphs
Simplify:
Recall that 
Notice that this pattern will repeat.
Convert each term of 
Rewrite the expression.
The answer is:
Example Question #41 : Basic Operations With Complex Numbers
Example Question #42 : Basic Operations With Complex Numbers
Example Question #43 : Basic Operations With Complex Numbers
When combining imaginary numbers we must first distribute the negative sign.
Now combine like terms.
Example Question #44 : Basic Operations With Complex Numbers
Simplify the term:
Write the value of the imaginary value.
Determine the values of the first several powers of 
Notice that this pattern will repeat.
Rewrite the expression in terms of the product of powers.
Simplify 
Replace the term.
The answer is:
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