Algebra II : Basic Operations with Complex Numbers
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #2065 : Mathematical Relationships And Basic Graphs
Example Question #2066 : Mathematical Relationships And Basic Graphs
Example Question #112 : Imaginary Numbers
Evaluate:
The value of 
Identify the values of 
Replace the values and simplify.
The answer is:
Example Question #2071 : Mathematical Relationships And Basic Graphs
Solve:
Evaluate the inner terms of the imaginary values.
The value of 
The expression becomes:
The answer is:
Example Question #114 : Imaginary Numbers
Express the following number in the form 
Since there is a complex number in the form 
This number is now expressed in the form 
Example Question #115 : Imaginary Numbers
Evaluate:
Recall that 
Rewrite the power of 243 as a product of a power of three.
Simplify the expression.
The answer is:
Example Question #116 : Imaginary Numbers
Determine the value of:
In order to determine the exact value of 
Recall that 
Therefore,
The answer is:
Example Question #2071 : Mathematical Relationships And Basic Graphs
Add:
The expression contain imaginary terms. The values can be simplified.
Recall that:
This indicates that:
Rewrite the expression. For powers higher than the given terms, we can rewrite that power as a product of exponents.
The answer is:
Example Question #121 : Imaginary Numbers
Evaluate:
Write the first few terms of the imaginary powers.
The term with 
Re-substitute the values.
The answer is:
Example Question #2071 : Mathematical Relationships And Basic Graphs
Evaluate:
Do not use the FOIL method to simplify these terms. Instead, write out the first few terms of 
Substitute all the values of the imaginary numbers to the expression.
Simplify the terms.
The answer is:
Certified Tutor
All Algebra II Resources
