// Numbas version: finer_feedback_settings
{"name": "Babylonisches Wurzelziehen", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Babylonisches Wurzelziehen", "tags": [], "metadata": {"description": "<p>Wirzelziehen nach der baylonischen Methode.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Ermitteln Sie f&uuml;r die Zahl $N=\\var{N}$ nach der babylonischen Methode mit Startwert $a_0=\\var{a0}$ n&auml;herungsweise die Wurzel durch zweifache Iteration.</p>\n<p><em>Bitte&nbsp; jeweils Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "advice": "<p>Mit Startwert $a_0=\\var{a0}$ ergibt sich f&uuml;r $N=\\var{N}$</p>\n<ol>\n<li>$B_1=a_0^2-N=\\var{a0}^2-\\var{N}=\\var{B1}$ <br/>und $a_1=a_0-\\frac{1}{2}\\cdot\\frac{B_1}{a_0}=\\var{a0}-\\frac{1}{2}\\cdot\\frac{\\var{B1}}{\\var{a0}}\\approx\\var{precround(a1,5)}$.</li>\n<li>$B_2=a_1^2-N\\approx\\var{precround(a1,5)}^2-\\var{N}\\approx\\var{precround(B2,5)}$ <br/>und $a_2=a_1-\\frac{1}{2}\\cdot\\frac{B_2}{a_1}\\approx\\var{precround(a1,5)}-\\frac{1}{2}\\cdot\\frac{\\var{precround(B2,5)}}{\\var{precround(a1,5)}}\\approx\\var{precround(a2,5)}$.</li>\n</ol>\n<p><em>Anders als oben dargestellt sollte mit ungerundeten Werten oder Bruchzahlen als Zwischenergebnissen weitergerechnet werden.</em></p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"squares": {"name": "squares", "group": "Ungrouped variables", "definition": "[3,5,7,11,13,17,19]", "description": "", "templateType": "anything"}, "index": {"name": "index", "group": "Ungrouped variables", "definition": "random(0..len(squares)-1)", "description": "", "templateType": "anything"}, "N": {"name": "N", "group": "Ungrouped variables", "definition": 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