Why is sqrt(x) = x^(1/2)? What Ms. Michael didn't show you #SHORTS

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In this #SHORTS video, we prove that the sqrt(x) is equal to x^(1/2) using the basic properties of exponentials, i.e., index laws. I remember asking this question when I was first learning about exponential functions in high school and was disappointed at the fact that my teach had no idea.

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  1. Kyle Broder
  2. log laws
  3. logarithms
  4. properties of logarithms
  5. additive logarithm rule
  6. additive logarithm law
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👍 To support the channel, hit the like button and subscribe.

KyleBroder
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I got it the moment you showed it at 0:17. V nice

riddhiman
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4 dislikes are the 4 quals who accidently stumbled upon this masterpiece

jonathanpopiel
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I dont completely agree with whats shown is this video, i believe a better and more formal definition of it is "x^(1/2) is equal to all distinct numbers K such that K^2 equals X". Which always has as solutions √x, -√x which means that x^(1/2) ≝ ±√x

rxdhlex