Proving that $a^{b}$ is rational (Elementary number theorey)
1877
Can an irrational number raised to an irrational power be rational?
50614
If $4\mid a+bc$ and $6\mid b+ac$ prove that $2\mid a^2-b^2$
130281
Proving $a^ab^b + a^bb^a \le 1$, given $a + b = 1$
20619
Finding Rational numbers
91101
Proving $\sqrt2$ is irrational
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
110256
Let $a,b \in {\mathbb{Z_+}}$ such that $a|b^2, b^3|a^4, a^5|b^6, b^7|a^8 \cdots$, Prove $a=b$
30622
Proving $\sqrt 3$ is irrational.
84558
Prove that the square root of a positive integer is either an integer or irrational
89184
Prove $30|(a^3b-ab^3) $
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
100725
Let $a$ be an algebraic number, prove that $ia$ is also algebraic
29692
Proof verification: elementary Number Theory Proof of $am+bn = 1$
138894
Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$
153043
Show that $\sqrt{4+2\sqrt{3}}-\sqrt{3}$ is rational using the rational zeros theorem
151544
Prove that if $B$ is the set of rationals in $[0,1]$ with a finite subcover, then: $1 \leq \sum_{k=1}^n m^*(I_k)$
1190
Square Root of Rational Number $\frac{A}{B}$