Question

What are the explanations for certain steps in these proofs for the irrationality/rationality of certain numbers?

score 1.4k · Answer 1 · 2011-08-19 17:06:45

1.4k

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What are the explanations for certain steps in these proofs for the irrationality/rationality of certain numbers?

Published on 19 Aug 2011 - 17:06

score 10.3k · Answer 2 · 2011-09-15 01:26:01

10.3k

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How to prove that $\sqrt 3$ is an irrational number?

Published on 15 Sep 2011 - 1:26

score 16.1k · Answer 3 · 2011-12-02 15:36:46

16.1k

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When is $\sin(x)$ rational?

Published on 02 Dec 2011 - 15:36

score 27.8k · Answer 4 · 2011-12-14 20:10:30

27.8k

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Prove $2^{1/3}$ is irrational.

Published on 14 Dec 2011 - 20:10

score 12.6k · Answer 5 · 2011-12-27 17:32:42

12.6k

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$\sin 1^\circ$ is irrational but how do I prove it in a slick way? And $\tan(1^\circ)$ is .....

Published on 27 Dec 2011 - 17:32

score 8.7k · Answer 6 · 2012-04-13 17:51:35

8.7k

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Proving $\sqrt 3$ is irrational.

Published on 13 Apr 2012 - 17:51

score 301 · Answer 7 · 2012-06-01 08:15:39

301

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No solution for the equation $y^{n} = 2x^{n}$ for $n \geq 2$ in positive integers.

Published on 01 Jun 2012 - 8:15

score 145.1k · Answer 8 · 2012-06-12 05:08:58

145.1k

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Is the sum and difference of two irrationals always irrational?

Published on 12 Jun 2012 - 5:08

score 58.4k · Answer 9 · 2012-06-17 06:34:29

58.4k

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Why is it hard to prove whether $\pi+e$ is an irrational number?

Published on 17 Jun 2012 - 6:34

score 4.2k · Answer 10 · 2012-06-23 19:27:52

4.2k

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Why do irrationality proofs of $\sqrt x$ not apply when $x$ is a perfect square?

Published on 23 Jun 2012 - 19:27

score 4k · Answer 11 · 2012-06-29 10:04:25

4k

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Proof of irrationality of square roots without the fundamental theorem of arithmetic

Published on 29 Jun 2012 - 10:04

score 4.9k · Answer 12 · 2012-07-22 08:41:10

4.9k

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Deciding whether $2^{\sqrt2}$ is irrational/transcendental

Published on 22 Jul 2012 - 8:41

score 6.5k · Answer 13 · 2012-07-29 11:07:29

6.5k

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Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational

Published on 29 Jul 2012 - 11:07

score 2.6k · Answer 14 · 2012-08-17 13:13:05

2.6k

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Prove that square root of 2 is irrational using the principle of Mathematical Induction

Published on 17 Aug 2012 - 13:13

score 630 · Answer 15 · 2012-10-25 07:35:22

630

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Please explain this step in proving the square root of 3 is irrational

Published on 25 Oct 2012 - 7:35

List Question

What are the explanations for certain steps in these proofs for the irrationality/rationality of certain numbers?

How to prove that $\sqrt 3$ is an irrational number?

When is $\sin(x)$ rational?

Prove $2^{1/3}$ is irrational.

$\sin 1^\circ$ is irrational but how do I prove it in a slick way? And $\tan(1^\circ)$ is .....

Proving $\sqrt 3$ is irrational.

No solution for the equation $y^{n} = 2x^{n}$ for $n \geq 2$ in positive integers.

Is the sum and difference of two irrationals always irrational?

Why is it hard to prove whether $\pi+e$ is an irrational number?

Why do irrationality proofs of $\sqrt x$ not apply when $x$ is a perfect square?

Proof of irrationality of square roots without the fundamental theorem of arithmetic

Deciding whether $2^{\sqrt2}$ is irrational/transcendental

Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational

Prove that square root of 2 is irrational using the principle of Mathematical Induction

Please explain this step in proving the square root of 3 is irrational

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