Question

Can nth root of 2 be a rational number for any natural number n > 1?

score 100 · Answer 1 · 2026-04-11 18:12:23

100

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Can nth root of 2 be a rational number for any natural number n > 1?

Published on 11 Apr 2026 - 18:12

score 990 · Answer 2 · 2026-04-17 14:34:14

990

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Prove or disprove that there is a rational number $x$ and an irrational number $y$ such that $x^y$ is irrational.

Published on 17 Apr 2026 - 14:34

score 58 · Answer 3 · 2026-04-10 05:28:41

58

Views

Prove $a_n = \lfloor ni \rfloor$ for some irrational $i$ has no pattern

Published on 10 Apr 2026 - 5:28

score 1.7k · Answer 4 · 2026-05-11 03:17:39

1.7k

Views

Can the product of two rational numbers be an irrational number? (Kindly see the example in description)

Published on 11 May 2026 - 3:17

score 109 · Answer 5 · 2026-04-13 22:16:47

109

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Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers with gcd(s,t)=1

Published on 13 Apr 2026 - 22:16

score 94 · Answer 6 · 2026-04-13 13:48:09

94

Views

How can I prove that no limit exists for this function over this particular interval?

Published on 13 Apr 2026 - 13:48

score 303 · Answer 7 · 2026-04-17 05:53:07

303

Views

Hint Needed: Proving $\sqrt{2}$ is irrational using induction

Published on 17 Apr 2026 - 5:53

score 226 · Answer 8 · 2026-04-13 22:56:58

226

Views

simple question : sequential criterion for continuity

Published on 13 Apr 2026 - 22:56

score 57 · Answer 9 · 2026-05-11 04:17:54

57

Views

Irrational packing of Euclidean spaces (with no gaps).

Published on 11 May 2026 - 4:17

score 137 · Answer 10 · 2026-05-10 17:18:02

137

Views

Sums and Products of Algebraic and Transcendental numbers

Published on 10 May 2026 - 17:18

score 344 · Answer 11 · 2026-04-15 06:46:33

344

Views

Proving $\sqrt3 + \sqrt[3]{2}$ to be irrational

Published on 15 Apr 2026 - 6:46

score 1.5k · Answer 12 · 2026-04-15 22:45:50

1.5k

Views

Proving irrationality of $\sqrt[3]{3}+\sqrt[3]{9}$

Published on 15 Apr 2026 - 22:45

score 224 · Answer 13 · 2026-04-13 21:17:42

224

Views

Abstract Algebra Square Roots Are Irrational

Published on 13 Apr 2026 - 21:17

score 11.1k · Answer 14 · 2026-05-07 02:37:08

11.1k

Views

Why is Euler's number $2.71828$ and not anything else?

Published on 07 May 2026 - 2:37

score 302 · Answer 15 · 2026-04-15 11:34:24

302

Views

Sum of two irrational numbers being rational or irrational

Published on 15 Apr 2026 - 11:34

List Question

Can nth root of 2 be a rational number for any natural number n > 1?

Prove or disprove that there is a rational number $x$ and an irrational number $y$ such that $x^y$ is irrational.

Prove $a_n = \lfloor ni \rfloor$ for some irrational $i$ has no pattern

Can the product of two rational numbers be an irrational number? (Kindly see the example in description)

Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers with gcd(s,t)=1

How can I prove that no limit exists for this function over this particular interval?

Hint Needed: Proving $\sqrt{2}$ is irrational using induction

simple question : sequential criterion for continuity

Irrational packing of Euclidean spaces (with no gaps).

Sums and Products of Algebraic and Transcendental numbers

Proving $\sqrt3 + \sqrt[3]{2}$ to be irrational

Proving irrationality of $\sqrt[3]{3}+\sqrt[3]{9}$

Abstract Algebra Square Roots Are Irrational

Why is Euler's number $2.71828$ and not anything else?

Sum of two irrational numbers being rational or irrational

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