Multiple choice question about the set $A = \{ m + n\sqrt{2} \}$.
29965
Proving that $m+n\sqrt{2}$ is dense in $\mathbb R$
35644
Find the supremum of the following set
109219
How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
104494
$m$ doesn't come in the sequence $a_n=[n+\sqrt{n}+\frac{1}{2}]$ iff m is a perfect square
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
27544
With $a,\ b,\ m,\ n\in \mathbb{Z}$. Show that if ${\rm gcd}(m,n)=1$, then ${\rm gcd}(ma+nb,mn)={\rm gcd}(a,n){\rm gcd}(b,m)$
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
5692
Proving that there is a perfect square between $n$ and $2n$
40162
Prove that the set $\mathbb{Q}[\alpha] = \{a+b\alpha+c\alpha^2 \mid a, b, c \in\mathbb{Q}\}$ is closed under addition and multiplication.
111805
If $a_{1}=1$ and $a_{n+1}=1+\frac{n}{a_{n}}$, then $a_{n}=\sqrt{n}+\frac{1}{2}-\frac{1}{8\sqrt{n}}+o\left(\frac{1}{\sqrt{n}}\right)$
104274
Express $C$ interms of the sets $A_n$
3101
Meaning of a set in the exponent
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
151928
How to prove that $N\setminus A$ is finite?
11359
Determine the Set of a Sum of Numbers
114506
Expansion of $(1+\sqrt{2})^n$