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xKingx

  • 3 years ago

How do you simplify numbers using the imaginary unit (i)? Ex: sqrt -16

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  1. AccessDenied
    • 3 years ago
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    If you have something in the form \(\sqrt{-a}\) for some \(a > 0\), then we can break it up using exponent / radical properties: \(\sqrt{-a} = \sqrt{-1 \times a} = \sqrt{-1} \sqrt{a} = i \sqrt{a} \)

  2. xKingx
    • 3 years ago
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    so it would be i\[\sqrt{16}\]?

  3. AccessDenied
    • 3 years ago
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    \(i \sqrt{16}\) Yes, although we can go a step further since \(\sqrt{16}\) is the square root of a perfect square. = \(4i\)

  4. xKingx
    • 3 years ago
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    Okay thanks.

  5. AccessDenied
    • 3 years ago
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    You're welcome. :)

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