MR 02 Loesung

Drei Zahlen

$(0!+0!+0!)!=6$

$(1+1+1)!=6$

$2+2+2=6$

$2\cdot 2+2=6$

$2^{2}+2=6$

$(2+{2 \over 2})!=6$

${\binom {2\cdot 2}{2}}=6$

$3\cdot 3-3=6$

$3!{3 \over 3}=6$

$({\sqrt[{3}]{3^{3}}})!=6$

$\int _{-{\sqrt {3}}}^{\sqrt {3}}{\sqrt {3}}\,dx=6$

$\cot(\arctan(\int _{3}^{\infty }3~x^{-3}\,dx))=6$

${{\tan {\pi \over 3}\cdot \tan {\pi \over 3}} \over {\cos {\pi \over 3}}}=6$

$\sum _{i={3 \over 3}}^{3}i=6$

${\sqrt {4}}+{\sqrt {4}}+{\sqrt {4}}=6$

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {{4!} \over { \sqrt{4 \cdot 4}}} = 6 }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 5 + {5 \over 5} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 6 {6 \over 6} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt[6]{6^6} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {{\cot{\pi \over 6} \cdot \cot{\pi \over 6}} \over {\sin{\pi \over 6}}} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 7 - {7 \over 7} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\sqrt{8 + {8 \over 8}})! = 6}

$({\sqrt {9}})!{9 \over 9}=6$

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\log 10 + \log 10 + \log 10)! = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{215 + {215 \over 215}} = 6}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{217 - {217 \over 217}} = 6}

Für den Rest aller ganzen Zahlen

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left | \cos n \pi + \cos n \pi + \cos n \pi \right |! = 6 ~ \forall ~ n \in \Z}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (n (n - n) - e^{i \pi} - e^{i \pi} - e^{i \pi})! = 6 ~ \forall ~ n \in \C}

$\left|e^{ni\pi }+e^{ni\pi }+e^{ni\pi }\right|!=6~\forall ~n\in \mathbb {Z}$