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Example Questions
Example Question #11 : Using Expressions With Complex Numbers
Simplify the following complex number expression:
Begin by simplifying the radicals using complex numbers:
Multiply the factors:
Simplify. Remember that is equivalent to
.
Example Question #41 : Algebra Ii
Simplify the following complex number expression:
Begin by completing the square:
Multiply the factors:
Simplify. Remember that is equivalent to
.
Example Question #12 : Using Expressions With Complex Numbers
Simplify the following complex number expression:
Begin by completing the square:
Now, multiply the factors:
Simplify. Remember that is equivalent to
.
Example Question #13 : Using Expressions With Complex Numbers
Simplify the following complex number expression:
Use the FOIL (First, Outer, Inner, Last) to multiply the complex numbers:
Combine like terms and simplify. Remember that is equivalent to
.
Example Question #41 : Algebra Ii
Simplify the following complex number expression:
Begin by multiplying the numerator and denominator by the conjugate of the denominator:
Combine like terms:
Simplify. Remember that is equivalent to
.
Example Question #12 : Using Expressions With Complex Numbers
Simplify the following complex number expression:
Begin by multiplying the numerator and denominator by the conjugate of the denominator:
Combine like terms:
Simplify. Remember that is equivalent to
.
Example Question #12 : Using Expressions With Complex Numbers
Simplify the following expression:
Simplifying expressions with complex numbers uses exactly the same process as simplifying expressings with one variable. In this case, behaves similarly to any other variable. Thus, we have:
Example Question #11 : Using Expressions With Complex Numbers
Simplify the following complex number expression:
Use the FOIL (First, Outer, Inner, Last) method to expand the expression:
Simplify. Remember that is equivalent to
.
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