@siriusmartM to Daily Maths Challenges • 7 months ago[2024/05/13] Irrational powersimagemessage-square4arrow-up111arrow-down10file-text
arrow-up111arrow-down1image[2024/05/13] Irrational powers@siriusmartM to Daily Maths Challenges • 7 months agomessage-square4file-text
Show that it’s possible a^b=c where a and b are irrational, and c is rational. Sry for the gap I ran out of ideas.
minus-square@siriusmartOPMlink5•7 months agothat is simply genius (i suppose it didnt come to me when i think of “irrational”)
![[2024/05/13] Irrational powers](https://lemmy.world/pictrs/image/feba9ad7-6b4a-42ef-9942-6b408ccfba0f.png){kind=link}
e^(log 2) = 2 is rational
that is simply genius
(i suppose it didnt come to me when i think of “irrational”)