prove that $\sqrt{\frac{3}{5}}$ is irrational number
44309
Prove $5a^2 ≠ 3b^2$ for all non-zero rational numbers $a$ and $b$
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
126199
Proof of $\pi$ not being a quadratic irrational number.
31744
Proving that there is an irrational number between any two unequal rational numbers.
26606
Prove the inequality $\,\frac{1}{\sqrt{1}+ \sqrt{3}} +\frac{1}{\sqrt{5}+ \sqrt{7} }+\ldots+\frac{1}{\sqrt{9997}+\sqrt{9999}}\gt 24$
21826
How to prove $\sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots}}}}}}} = \frac{2+\sqrt 5 +\sqrt{15-6\sqrt 5}}{2}$
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
153043
Show that $\sqrt{4+2\sqrt{3}}-\sqrt{3}$ is rational using the rational zeros theorem
32848
Prove that the product of a non-zero rational and irrational number is irrational.
158066
Prove $2^{1/3}$ is irrational.
37529
If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational
64885
Irrational and rational sequence proof
143733
Is this proof that $\sqrt 2$ is irrational correct?