User:Wojciech M Dobkowski/sandbox

$$\sqrt[n]{mzzzz}$$

My Article:

I would like to show and proof that any r-th root or any natural number ($$\sqrt[r]{q}$$ where q and r are any natural number>1) is either a natural number or irrational.

1. According to the fundamental theorem of arithmetic which says that every integer > 1 has its unique factorization into primes:

m = m1 * m2 * m3 x ... mx