List questions from rational-numbers

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Abstract Algebra Square Roots Are Irrational

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Symbol for dyadic rationals

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For all integers $w, x, y, z$ with $w\neq{y}$ and $wz-xy\neq0$, prove that there exists a unique rational number $r$ such that $(wr+x)\div(yr+z)=1$

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Sum of two irrational numbers being rational or irrational

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Well-Ordering Irrationality

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Rational as series?

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Some numbers represented by symbols

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Find rational numbers $\alpha $ and $\beta$ in $\sqrt[3]{7+5\sqrt{2}}=\alpha+\beta\sqrt{2}$

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Finding the rationalizing factor of real numbers with denominator $1$

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Is $ (3+\sqrt{2})^{2/3} $ an irrational number?

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Writing Short Equations/Equivalents For A Group Of Numbers.

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Why doesn't the construction of $\mathbb{N}$ through ordinals in ZFC violate Gödel's Incompleteness Theorem?

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Rational Numbers Proof

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How to determine the kernel $\ker \varepsilon_{\sqrt 2}$ and the image $\varepsilon_{\sqrt 2}(\mathbb Q[X])?$

Published on 12 Feb 2019 - 19:20

List Question

Sums and Products of Algebraic and Transcendental numbers

Abstract Algebra Square Roots Are Irrational

Symbol for dyadic rationals

For all integers $w, x, y, z$ with $w\neq{y}$ and $wz-xy\neq0$, prove that there exists a unique rational number $r$ such that $(wr+x)\div(yr+z)=1$

Sum of two irrational numbers being rational or irrational

Well-Ordering Irrationality

Rational as series?

Some numbers represented by symbols

Find rational numbers $\alpha $ and $\beta$ in $\sqrt[3]{7+5\sqrt{2}}=\alpha+\beta\sqrt{2}$

Finding the rationalizing factor of real numbers with denominator $1$

Is $ (3+\sqrt{2})^{2/3} $ an irrational number?

Writing Short Equations/Equivalents For A Group Of Numbers.

Why doesn't the construction of $\mathbb{N}$ through ordinals in ZFC violate Gödel's Incompleteness Theorem?

Rational Numbers Proof

How to determine the kernel $\ker \varepsilon_{\sqrt 2}$ and the image $\varepsilon_{\sqrt 2}(\mathbb Q[X])?$

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