Comment on omg

bleistift2@sopuli.xyz ⁨5⁩ ⁨days⁩ ago

a / b = a × b^(-1)

sqrt(a) = a ^ (1/2)

  2 / sqrt(2)
= 2 / 2^(1/2)
= 2 × 2^(-1/2)
= 2 ^ (1 + -1/2)
= 2 ^ ( -1/2 )
= sqrt(2)

• putitoutwithyourbootsted@piefed.social ⁨5⁩ ⁨days⁩ ago

  Neat breakdown! Can you explain why this line =2^(1+ -1/2) =>2^(-1/2)
  shouldn’t it be 2^(1/2) or am I missing something? Second guessing myself here lol

  source

  • bleistift2@sopuli.xyz ⁨5⁩ ⁨days⁩ ago

    No, that’s a mistake. Incredible how many mistakes one can make in a simple derivation.

    Thanks for pointing it out.

    source

    • putitoutwithyourbootsted@piefed.social ⁨5⁩ ⁨days⁩ ago

      All good! Thanks for the very helpful explanation.

      source