< Quadratwurzel 7 < Summe < Rational <
Aufgabe
Wenn
7
+
7
=
2
7
{\displaystyle {}{\sqrt {7}}+{\sqrt {7}}=2{\sqrt {7}}\,}
rational wäre, so wäre auch
7
{\displaystyle {}{\sqrt {7}}}
rational, was nach
Fakt
nicht gilt. Somit ist
7
+
7
{\displaystyle {}{\sqrt {7}}+{\sqrt {7}}}
nicht rational.
Zur gelösten Aufgabe
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