Complex And Imaginary Numbers Flashcards

1
Q

What does i represent?

A

Imaginary numbers (the square root of a negative number).

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2
Q

How is i defined?

A

i is defined as the square root of negative one, and is used as a variable with the number multiplied by it.

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3
Q

Is i² imaginary?

A

No, it is equivalent to -1

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4
Q

How do you find i to any power?

A

To find i to any power you have to “simplify”, dividing the exponent by 4, because i⁴ is 1, then the remainder is the exponent you use to find the answer.

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5
Q

i = ?

A

sqrt -1

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6
Q

i² = ?

A

-1

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7
Q

i³ = ?

A

-i

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8
Q

i⁴ = ?

A

1

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9
Q

sqrt -2 = ?

A

± i sqrt2

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10
Q

sqrt -4 = ?

A

±2i

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