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Maximilian Barton
Mathematics
7 August, 22:26
If 1=square foot - 1, what is the value of i^3
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Courtney Humphrey
7 August, 22:38
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I think you meant to say "root" instead of "foot". Also, I think you meant to use the letter i instead of the number 1 on the left side of the equation. It should be this:
i = square root of - 1 = sqrt (-1)
Often it's handier to use the shortcut "sqrt" for "square root"
Let's square both sides of the equation given:
i = sqrt (-1)
i^2 = (sqrt (-1)) ^2
i^2 = - 1 ... notice squaring the square root have the two cancel out and go away
Now multiply both sides by i
i^2 = - 1
i^2*i = - 1*i
i^2*i^1 = - i
i^ (2+1) = - i
i^3 = - i
which is the final answer
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