Simplify (-1)^√π | Math Olympiad Challenge | Euler Identify | Best Trick!!

[@peternyekete6802]

Great video

[@MathswithChinwendu]

Thank you so much

[@kelvintowns5217]

I really enjoyed your video

[@MathswithChinwendu]

Thank you so much

[@rozgal]

that is so cooool thank you

[@MathswithChinwendu]

You are welcome sir

[@EduaneVirgílioAndré]

You are amazing!❤❤

[@MathswithChinwendu]

Thank you so much

[@afrika-karibianaestudionan4050]

Greetings from Curaçao, An Island Nation in The Caribbean.

[@MathswithChinwendu]

Thank you so much sir

[@danielvandermaas2828]

Why is the equation we end up with simpler though?

[@MathswithChinwendu]

🤔?

[@bizikimiz6003]

yeah, excep that -1=e^(i*(Pi+2kPi)) so -1^Sqrt(Pi) = e^i*(Pi^1.5+2kPi^1.5), so you have missed out on infinitely many solutions, but at least you have found one.

[@MathswithChinwendu]

Oh thank you so much sir

[@RyanLewis-Johnson-wq6xs]

(-1)^Sqrt[π]=Cos[πSqrt[π]]+iSin[πSqrt[π]]=Cos[π^(3/2)]+iSin[π^(3/2)]

[@MathswithChinwendu]

Thank you so much