7 мая 2014 г. · Hint (p/q)2∈Z⇒q∣p⋅p(q,p)=1⇒Euclidq∣p⇒p/q∈Z QED.

14 мая 2013 г. · Any number for which it is possible to express as the ratio or quotient of integers is a rational number. So yes, 5 is rational, ...

18 сент. 2020 г. · I recognize that a rational number a/b means that b does not divide a and also that a and b are relatively prime. Does that mean rational ...

20 февр. 2013 г. · Everything on the right side of (4) is an integer, so 1q must also be an integer. Thus, x=pq is also an integer. Therefore, any rational number ...

5 июн. 2024 г. · If n is any natural number then either √n is an integer or it is irrational. ... With those, that there are no integers with non-integer rational ...

12 сент. 2010 г. · Theorem: If a and b are positive integers, then a1/b is either irrational or an integer. If a1/b=x/y where y does not divide x, ...

30 янв. 2017 г. · "If n is a perfect square then √n is a an integer and therefore rational, so it suffices to prove that if n is not a perfect square, then √n ...

28 окт. 2021 г. · I'm guessing that the proof proceeds based on certain properties of irrational numbers or integers to show that m√qn=1⇔q=1 and thus a∈N+, but ...

10 окт. 2016 г. · Proof trying. if √n is rational number then we can write √n=ab (as n is a positive integer) for a∈Z and 0≠b∈Z.

25 июн. 2014 г. · x=0 is a rational number but 1x=10 isn't defined.