All Algebra II Resources
Example Questions
Example Question #1 : Imaginary Numbers
Evaluate
You cannot divide by complex numbers
To divide by a complex number, we must transform the expression by multiplying it by the complex conjugate of the denominator over itself. In the problem, is our denominator, so we will multiply the expression by to obtain:
.
We can then combine like terms and rewrite all terms as . Therefore, the expression becomes:
Our final answer is therefore
Example Question #4621 : Algebra Ii
Simplify the following product:
Multiply these complex numbers out in the typical way:
and recall that by definition. Then, grouping like terms we get
which is our final answer.
Example Question #2 : Imaginary Numbers
Identify the real part of
none of the above.
A complex number in its standard form is of the form: , where stands for the real part and stands for the imaginary part. The symbol stands for .
The real part in this problem is 1.
Example Question #11 : Sat Subject Test In Math I
Simplify:
To add complex numbers, find the sum of the real terms, then find the sum of the imaginary terms.
Example Question #2 : Complex Imaginary Numbers
Simplify:
To add complex numbers, find the sum of the real terms, then find the sum of the imaginary terms.
Example Question #3 : Complex Imaginary Numbers
Simplify:
To add complex numbers, find the sum of the real terms, then find the sum of the imaginary terms.
Example Question #2 : Imaginary Numbers
Simplify:
To subtract complex numbers, subtract the real terms together, then subtract the imaginary terms.
Example Question #1 : Complex Imaginary Numbers
Simplify:
To subtract complex numbers, subtract the real terms, then subtract the imaginary terms.
Example Question #1961 : Mathematical Relationships And Basic Graphs
Simplify:
To subtract complex numbers, subtract the real terms, then subtract the imaginary terms.
Example Question #2 : Imaginary Roots Of Negative Numbers
Simplify:
Start by using FOIL. Which means to multiply the first terms together then the outer terms followed by the inner terms and lastly, the last terms.
Remember that , so .
Substitute in for