Why does the Pythagorean theorem involve squares rather than any other powers?
136318
Where does the power $2$ come from in the Pythagorean theorem?
96554
Why is $x^0 = 1$ except when $x = 0$?
73805
How can we get Pythagoras from the Parallelogram law?
126040
Geometric explanation of $\sqrt 2 + \sqrt 3 \approx \pi$
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
23270
The sum of powers of two and two's complement – is there a deeper meaning behind this?
120498
Why perfect square has odd number of factors
97114
Square is not an algebraic set.
90102
How to prove that $p-1$ is squarefree infinitely often?
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
120912
Can two Pythagorean triples have the same product?
37995
What is the most elegant proof of the Pythagorean theorem?
87666
Find $n$ such that $n/2$ is a square, $n/3$ is a cube, and $n/5$ a fifth power
116578
Any Implications of Fermat's Last Theorem?
84334
How to prove the Pythagoras theorem using vectors
79677
Difference of squares - number of representations
131108
Can $3p^4-3p^2+1$ be square number?