Is $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ rational?
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
128387
Given that $a+b\sqrt[3]{2} +c\sqrt[3]{4} =0$, where $a,b,c$ are integers. Show $a=b=c=0$
99502
Question on the coefficients of $(1+x+x^2+x^3+x^4)^{496}$
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
21237
$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
55050
How to show that $\mathbb{Q}(i,\sqrt[4]{1+i} )$ is not contained in any cyclotomic extension of $\mathbb{Q}(i)$?
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
5981
For which values of $a$ does $a-2 \mid a^3+4$
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
109953
How to prove that $\sqrt 3$ is an irrational number?
43453
Is ${\sqrt2^{\sqrt2^{\sqrt2^{\sqrt2^\sqrt2}}}}^{...}=4$ correct?
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
148876
What is the meaning of $\mathbf{Q}(\sqrt{2},\sqrt{3})$
30622
Proving $\sqrt 3$ is irrational.
97071
Is the cube root of a prime number rational?