List questions from irrational-numbers

Published on 19 Mar 2015 - 13:50

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Prove that there is an irrational number a such that $2\lt a \lt 3$. Prove also that there is an irrational number $b$ such that $2 \lt b^2 \lt 3$

Published on 23 Mar 2015 - 5:54

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How do I find the value of this weird expression?

Published on 30 Mar 2026 - 17:01

191

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How can there exist a Liouville number?

Published on 29 Mar 2015 - 21:42

352

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Does π start with two identical decimal sequences?

Published on 29 Mar 2026 - 16:01

406

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constructing continuous function with range of rational numbers

Published on 31 Mar 2015 - 15:21

421

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On a theorem of Kronecker!

Published on 26 Mar 2026 - 13:44

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If $x$ and $y$ are irrational but $x + y$ is rational then $x - y$ is irrational

Published on 26 Mar 2026 - 16:07

401

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Can length of line segment have non-terminating decimal form value?

Published on 02 Apr 2015 - 4:57

7.1k

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Are there any irrational numbers that have a difference of a rational number?

Published on 26 Mar 2026 - 16:09

1.1k

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For each irrational number $b$, does there exist an irrational number $a$ such that $a^b$ is rational?

Published on 07 Apr 2015 - 12:00

2.9k

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Rational number that approximates $\sqrt{3}$

Published on 26 Mar 2026 - 13:41

402

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Natural bijection between $\mathbb{N}$ and algebraic numbers?

Published on 12 Apr 2015 - 13:51

80

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Show that $4^\frac{1}{3}$ is an algebraic number?

Published on 12 Apr 2015 - 17:39

355

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Continued fraction for $[1,2,3,4,5,6,\dots]$

Published on 28 Mar 2026 - 5:38

List Question

Irrational diagonal length problem.

Prove that there is an irrational number a such that $2\lt a \lt 3$. Prove also that there is an irrational number $b$ such that $2 \lt b^2 \lt 3$

How do I find the value of this weird expression?

How can there exist a Liouville number?

Does π start with two identical decimal sequences?

constructing continuous function with range of rational numbers

On a theorem of Kronecker!

If $x$ and $y$ are irrational but $x + y$ is rational then $x - y$ is irrational

Can length of line segment have non-terminating decimal form value?

Are there any irrational numbers that have a difference of a rational number?

For each irrational number $b$, does there exist an irrational number $a$ such that $a^b$ is rational?

Rational number that approximates $\sqrt{3}$

Natural bijection between $\mathbb{N}$ and algebraic numbers?

Show that $4^\frac{1}{3}$ is an algebraic number?

Continued fraction for $[1,2,3,4,5,6,\dots]$

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