New posts in real-numbers

For $a, b \geq 0$, $0 < x < 1$, show $(a+b)^x \leq a^x + b^x$

real-analysis inequality real-numbers

Enough Dedekind cuts to define all irrationals?

irrational-numbers real-numbers

show that there is no a positive integer $n$ for which $\sqrt{n+1} + \sqrt{n-1}$ is rational

Solve the equation $\sqrt{x+3}+\sqrt{x^2+2x+7}-\sqrt{x^2+3}=(x+1)^2$ [closed]

algebra-precalculus systems-of-equations real-numbers radicals

Can the product of three complex numbers ever be real?

complex-numbers examples-counterexamples real-numbers

Could Euclid have proven that multiplication of real numbers distributes over addition?

real-analysis geometry euclidean-geometry math-history real-numbers

Given $n+1$ points, bound the product of the distances from one of them

real-analysis optimization real-numbers upper-lower-bounds

Does negative zero exist? [closed]

arithmetic definition real-numbers

Does it make any sense to prove $0.999\ldots=1$?

real-analysis soft-question real-numbers philosophy decimal-expansion

The set of real numbers is a subset of the set of complex numbers?

complex-numbers real-numbers

Why are the empty set and the set of all real numbers both open and closed?

general-topology real-numbers

Next Real Number

real-analysis elementary-set-theory real-numbers

How to prove :$\sqrt{1!\sqrt{2!\sqrt{3!\sqrt{\cdots\sqrt{n!}}}}} <3$

calculus real-analysis sequences-and-series inequality real-numbers

Why does $ a_n = \frac {a_{n-1} + \frac {2}{a_{n-1}}}{2}$ converge to an irrational number?

real-analysis sequences-and-series limits real-numbers cauchy-sequences

Does same cardinality imply a bijection?

elementary-set-theory real-numbers

What is the purpose of showing some numbers exist?

real-analysis soft-question real-numbers motivation

properties that real numbers hold but complex numbers does not

real-analysis complex-numbers real-numbers

Constructive proof that algebraic numbers form a field

polynomials irrational-numbers real-numbers

$\mathbb{R}^2$ is not a subspace of $\mathbb{C}^2$?

complex-numbers vector-spaces real-numbers

How to represent an arbitrary real number in $[0,1)$