• Afghaniscran
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    1 year ago

    If I’m not wrong, I think the square root of minus 1 is an imaginary number which is represented by i

    Don’t ask me anymore questions about this if you want real answers because I genuinely don’t know any more.

    • finestnothing@lemmy.world
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      1 year ago

      Yep, sqrt(-1) = i. Powers of i are actually really neat imo since they form a loop: i^0 = 1
      i^1 = i
      i^2 = -1
      i^3 (or i^2 x i or -1 x i) = -i
      Now the loop starts:
      i^4 = i^2 x i^2 = 1 x 1 = 1
      i^5 = i^4 x i^1 = 1 x i = i
      etc
      Any evaluation of i to the power k boils down to i^(k%4). For example, i^726 = i^2 = -1. I know this was super useful in calc 1 or 2 and not used for any of my other math classes, it’s just a fun concept to me