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Vermischte Aufgaben mit Wurzeln - Aufgabenblatt 2 |
| Dokument mit 43 Aufgaben |
Aufgabe A1 (12 Teilaufgaben)
| Mache den Nenner rational. | |||
| a) | \(\mathsf {\frac {4}{3\sqrt{8}}} \) | = | _______________________ |
| b) | \(\mathsf {\frac {3}{4\sqrt{8}}} \) | = | _______________________ |
| c) | \(\mathsf {\frac {a\sqrt{b}-b\sqrt{a}}{\sqrt{ab}}} \) | = | _______________________ |
| d) | \(\mathsf {\frac {x\sqrt{y}-y\sqrt{x}}{\sqrt{xy}}} \) | = | _______________________ |
| e) | \(\mathsf {\frac {\sqrt{7}}{\sqrt {7}-\sqrt{2}}} \) | = | _______________________ |
| f) | \(\mathsf {\frac {\sqrt{8}}{\sqrt {8}-\sqrt{2}}} \) | = | _______________________ |
| g) | \(\mathsf {\frac {x\sqrt{y}-y\sqrt{x}}{\sqrt{y}-\sqrt{x}}} \) | = | _______________________ |
| h) | \(\mathsf {\frac {a\sqrt{b}-b\sqrt{a}}{\sqrt{b}-\sqrt{a}}} \) | = | _______________________ |
| i) | \(\mathsf {\frac {\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}} \) | = | _______________________ |
| j) | \(\mathsf {\frac {\sqrt{a}+\sqrt{b}}{\sqrt{a}-\sqrt{b}}} \) | = | _______________________ |
| k) | \(\mathsf {\frac {\sqrt{3}-\sqrt{12}}{\sqrt{3}+\sqrt{12}}} \) | = | _______________________ |
| l) | \(\mathsf {\frac {x^2}{\sqrt{x}-\sqrt{y}}} \) | = | _______________________ |
 Eine Frage stellen... |
Fehler melden...Aufgabe A2 (12 Teilaufgaben)
| Berechne ohne gerundete Werte. | |||
| a) | \(\mathsf {\sqrt[3]{8} \cdot \sqrt[3]{8}} \) | = | _______________________ |
| b) | \(\mathsf {\sqrt[4]{3} \cdot \sqrt[4]{27}} \) | = | _______________________ |
| c) | \(\mathsf {\sqrt[5]{4} \cdot \sqrt[5]{8}} \) | = | _______________________ |
| d) | \(\mathsf {\sqrt[3]{5} \cdot \sqrt[3]{1} \cdot \sqrt[3]{25}} \) | = | _______________________ |
| e) | \(\mathsf {\sqrt[4]{2} \cdot \sqrt[4]{4} \cdot \sqrt[4]{2}} \) | = | _______________________ |
| f) | \(\mathsf {\sqrt[6]{2} \cdot \sqrt[6]{4} \cdot \sqrt[6]{8}} \) | = | _______________________ |
| g) | \(\mathsf {\sqrt[3]{a^2 } \cdot \sqrt[3]{a} \cdot \sqrt[3]{a^3}} \) | = | _______________________ |
| h) | \(\mathsf {\sqrt[4]{b} \cdot \sqrt[4]{b^2} \cdot \sqrt[4]{b}} \) | = | _______________________ |
| i) | \(\mathsf {\sqrt[5]{x} \cdot \sqrt[5]{x^3} \cdot \sqrt[5]{x^6}} \) | = | _______________________ |
| j) | \(\mathsf {\sqrt[3]{3a} \cdot \sqrt[3]{a^4} \cdot \sqrt[3]{9a}} \) | = | _______________________ |
| k) | \(\mathsf {\sqrt[4]{10x} \cdot \sqrt[4]{20x^2} \cdot \sqrt[4]{50x}} \) | = | _______________________ |
| l) | \(\mathsf {\sqrt[5]{2y} \cdot \sqrt[5]{y^3} \cdot \sqrt[5]{16y}} \) | = | _______________________ |
| Eine Frage stellen... |
Aufgabe A3 (11 Teilaufgaben)
| Berechne ohne gerundete Werte. | |||
| a) | \(\mathsf {\sqrt[3]{54} : \sqrt[3]{2}} \) | = | _______________________ |
| b) | \(\mathsf {\sqrt[4]{30000} : \sqrt[4]{3}} \) | = | _______________________ |
| c) | \(\mathsf {\sqrt[5]{64} : \sqrt[5]{2}} \) | = | _______________________ |
| d) | \(\mathsf {\sqrt[5]{a^7} : \sqrt[5]{a^2} } \) | = | _______________________ |
| e) | \(\mathsf {\sqrt[6]{9b^9} : \sqrt[6]{9b^3} } \) | = | _______________________ |
| f) | \(\mathsf {\sqrt[3]{81x^8} : \sqrt[3]{3x^2} } \) | = | _______________________ |
| g) | \(\mathsf {\sqrt[4]{64y^7 } : \sqrt[4]{4y^3}} \) | = | _______________________ |
| h) | \(\mathsf {\sqrt[4]{\frac {1}{2}a} \cdot \sqrt[4]{8a} } \) | = | _______________________ |
| i) | \(\mathsf {\sqrt[5]{\frac {5}{3}b^7} : \sqrt[5]{\frac {5}{3}b^2}} \) | = | _______________________ |
| j) | \(\mathsf {\sqrt[6]{\frac {2}{x}} : \sqrt[6]{\frac {x^5}{32}}} \) | = | _______________________ |
| k) | \(\mathsf {\sqrt[3]{\frac {4y^2}{9}} : \sqrt[3]{\frac {3}{2y}} } \) | = | _______________________ |
| Eine Frage stellen... |
Aufgabe A4 (8 Teilaufgaben)
| Vereinfache soweit wie möglich. | |||
| a) | \(\mathsf {\sqrt{3} \cdot \sqrt{27x}} \) | = | _______________________ |
| b) | \(\mathsf {(3\sqrt{x}+a \sqrt{x}) \cdot \sqrt{x}} \) | = | _______________________ |
| c) | \(\mathsf {(\sqrt{5} - \sqrt{6})^2} \) | = | _______________________ |
| d) | \(\mathsf {(\sqrt{32} + \sqrt{18}) : \sqrt{2}} \) | = | _______________________ |
| e) | \(\mathsf {(\sqrt{5x} - \sqrt{20x}) : \sqrt{x}} \) | = | _______________________ |
| f) | \(\mathsf {\left ( x^{\frac {1}{2}} - x^{-\frac {1}{2}} \right ) : \sqrt{x}} \) | = | _______________________ |
| g) | \(\mathsf {\sqrt{8x^2-16x+8} } \) | = | _______________________ |
| h) | \(\mathsf {(\sqrt{3} + \sqrt{m})^2 } \) | = | _______________________ |
| Eine Frage stellen... |
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| Vermischte Aufgaben mit Wurzeln - Aufgabenblatt 2 |
- Geschrieben von Meinolf Müller Meinolf Müller
- Zuletzt aktualisiert: 27. September 2020 27. September 2020
