If $a^3=e$, then $a$ has a square root.
34192
Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique]
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
139082
If $a,b,c>0$ and $a^3+b^3=c^3$ then prove that $a^2+b^2-c^2>6(c-a)(c-b)$.
96204
Irrational number $\sqrt2$ proof
7463
Square root of a square
27021
Show that $Q[\sqrt3]$ is a field
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational
62850
Linear Algebra: If $A^3 = I$, does $A$ have to be $I$?
148094
Show that $e^3 > 20$
84558
Prove that the square root of a positive integer is either an integer or irrational
69575
If $ad$ and $bc$ are odd and even, respectively, then prove that $ax^3+bx^2+cx+d$ has an irrational root.
6582
Prove the existence of the square root of $2$.
6275
How can you prove that the square root of two is irrational?
76925
Algebraic proof that if $a>0$ then $1+a^9 \leq \frac{1}{a}+a^{10} $
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
126711
What is the square matrix $A$ equal to if $A=A^2$
111432
Square root of a number squared is equal to the absolute value of that number