MR 02 Loesung

Drei Zahlen

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

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

$2+2+2=6$

$2\cdot 2+2=6$

$2^{2}+2=6$

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

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

$3\cdot 3-3=6$

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

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

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

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

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

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

${\sqrt {\sum _{i=\sin 3\pi }^{3}i^{3}}}=6$

${\sqrt {\sum _{i=-\cos 3\pi }^{3}i^{3}}}=6$

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

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 \left (\sqrt{8 + {8 \over 8}} \right )! = 6}

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

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 \sqrt{9\cdot 9} - \sqrt{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 \left \lfloor \sqrt{\sqrt{\sqrt{\sqrt{11\cdot 11^{11}}}}} \right \rfloor = 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{35 + {35 \over 35}} = 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{36 {36 \over 36}} = 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{37 - {37 \over 37}} = 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( 100\cdot 100\cdot 100) = 6}

Für den Rest aller ganzen Zahlen

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

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}

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 | e^{n i \pi} + e^{n i \pi} + e^{n i \pi} \right |! = 6 ~ \forall ~ n \in \Z}