Prove that $\sqrt{7}+\sqrt{3}$ is irrational
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
52413
Show that $\tan{(\pi/7)} \tan{(2\pi/7)}\tan{(3\pi/7)}=\sqrt{7}$
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
120954
Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$
111295
Prove that $a^7 + b^7 + c^7 \geq a^4b^3 + b^4c^3 + c^4a^3$
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
30478
How to prove that a number is irrational
50777
Prove that $4\sin\frac{2\pi}{7}- \tan\frac{\pi}{7}= \sqrt{7}$ .
142000
Prove that there is an irrational number and a rational number between any two distinct real numbers
138446
Proving that there exists an irrational number in between any given real numbers
67605
Different proof that $\sqrt{2}$ is irrational
1401
$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
96204
Irrational number $\sqrt2$ proof
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
20315
$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational