###### Asked in Math and Arithmetic

Math and Arithmetic

# Simplify i341 plus 3i89 minus 2i122 plus i5 minus 6i1008 plus i67 equals?

## Answer

###### Wiki User

###### 11/21/2007

i341 + 3i89 - 2i122 + i5 - 6i1008 + i67 (I'm assuming that 'i'
represents the imaginary square root of minus one.) If k is a
multiple of 4: ik-3 = ik+1 = i ik-2 = ik+2 = -1 ik-1 = ik+3 = -i ik
= 1 Using this: **i341 = i** and **i89 = i** **i122 = -1**
and **i5 = i** **i1008 = 1** and **i67 = -i** Therefore
the expression can be written: i + 3i + 2 + i - 6 - i = 4i - 4 =
4(i-1)

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