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Performing Arithmetic with Complex Numbers
Choose Course
Algebra 2
Quadratic Functions and Equations
Performing Arithmetic with Complex Numbers
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Performing Arithmetic with Complex Numbers 1.1 - Solution
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Return to Performing Arithmetic with Complex Numbers
We want to simplify the given numeric expression using the
imaginary unit
,
i
.
To do so, we will first recall that the imaginary unit
i
is the
complex number
whose square is
-
1
.
i
2
=
-
1
and
i
=
-
1
We can simplify the expression using this definition.
-
8
1
SplitIntoFactors
Split into factors
-
1
⋅
8
1
RootProd
a
⋅
b
=
a
⋅
b
-
1
⋅
8
1
SqrtNegOneToI
-
1
=
i
i
⋅
8
1
CalcRoot
Calculate root
i
⋅
9
CommutativePropMult
Commutative Property of Multiplication
9
i