When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?
3712
Why $\sqrt{-1 \cdot {-1}} \neq \sqrt{-1}^2$?
115296
Under what conditions does a matrix $A$ have a square root?
70660
Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
80199
Do we have always $f(A \cap B) = f(A) \cap f(B)$?
100375
Prove that ${\sqrt {n} }^{\sqrt {n+1}} > {\sqrt {n+1}}^{\sqrt {n}}$.
81875
why is $\sqrt{-1} = i$ and not $\pm i$?
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
8589
$\sqrt[b_1]{a_1}+\sqrt[b_2]{a_2}+\cdots+\sqrt[b_k]{a_k}$ not an integer
138256
What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
53660
Show that $ a，b，c, \sqrt{a}+ \sqrt{b}+\sqrt{c} \in\mathbb Q  \implies  \sqrt{a},\sqrt{b},\sqrt{c} \in\mathbb Q $
54952
Is it true that $\limsup\sqrt[n]{|a_n|}=\limsup\sqrt[n]{|a_n-a_{n-1}|}$, ($n>1$), where $\{a_n\}$ does not have a finite limit?
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?
80892
Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
93076
When $\min \max = \max \min$?
17542
Why is $\sqrt{-x}*\sqrt{-x}=-x?$