Why is $\sqrt{ab} = \sqrt{a} \sqrt{b} $ where a and b are positive real numbers?
118981
Proving $\sqrt{ab} = \sqrt a\sqrt b$
12927
$A^2+B^2=AB$ and $BA-AB$ is non-singular
112368
Is there a rule for $\sqrt{a+b}$?
124320
$a,b,c>0 \text{ s.t. }a+b+c=1 \implies \sqrt{ab+c}+\sqrt{bc+a}+\sqrt{ca+b} \ge 1+ \sqrt{ab}+\sqrt{bc}+\sqrt{ca}$
99631
Prove/Disprove: Find $a\in S_4$ that is not a power of $b$ such that $ab=ba$ while $b=(123)$
23048
The ring $\mathbb Z[\sqrt{-2}]= \{a+b\sqrt{-2} ; a\in \mathbb Z,b\in \mathbb Z \}$ has a Euclidean algorithm
71044
Can the square root of a real number be negative?
70660
Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
57125
Prove the distributive law $a(b+c)=ab+ac$ for real numbers?
39779
If $a,b,c>0$ and $a+b+c=1$, prove that $\sqrt{\frac{ab}{c+ab}}+\sqrt{\frac{bc}{a+bc}}+\sqrt{\frac{ac}{b+ac}} \le \frac{3}{2}$.
114404
For which positive integer values of $n$ does $a|mn-b?$
128387
Given that $a+b\sqrt[3]{2} +c\sqrt[3]{4} =0$, where $a,b,c$ are integers. Show $a=b=c=0$
138256
What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
11127
Let $a$, $b$, and $c$ be positive real numbers.
101362
Let a,b,c be positive real number, proof.
158844
If $a$ and $b$ are positive real numbers such that $a+b=1$, prove that $(a+1/a)^2+(b+1/b)^2\ge 25/2$