• UeT Nr. 2 - Grundrechenarten bei Quadratwurzeln
  • Christian Leeser
  • 07.02.2023
  • Mathematik
  • 8, 9, 10
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1
Be­rech­ne die fol­gen­den Terme mit Hilfe der Wur­zel­ge­set­ze.
  • 28\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{2} \cdot \sqrt{8}
  • 3+4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{3} + \sqrt{4}
  • 1664\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{16 \cdot 64}
  • 4936\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{\sqrt{49}}{\sqrt{36}}
  • 164\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{16} - \sqrt{4}
  • 25+144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{25 + 144}
  • 25681\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{256} \cdot \sqrt{81}
  • 22536\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{225 \cdot 36}
  • 0196\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{\sqrt{0}}{\sqrt{196}}
  • 225:1\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{225 : 1}
  • 120+1\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{120 + 1}
  • 0+225\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{0} + \sqrt{225}
  • 2251\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{225 \cdot 1}
  • 468144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{468 - 144}
  • 324:36\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{324 : 36}
2
An­net­te fin­det ihren Feh­ler nicht. Über­prü­fe Ihre Rech­nung und be­nen­nen die Feh­ler.
  • 18242\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{18^2} - \sqrt{4^2}
    =18242\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =\sqrt{18^2 - 4^2}
    =14\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =14
  • 202:42\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{20^2} : \sqrt{4^2}
    =202:42\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =\sqrt{20^2 : 4^2}
    =5\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =5
  • 62+162\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{6^2} + \sqrt{16^2}
    =62+162\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =\sqrt{6^2 + 16^2}
    =22\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =22
  • 52112\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{5^2} \cdot \sqrt{11^2}
    =52112\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =\sqrt{5^2 \cdot 11^2}
    =55\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} =55
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