<details> <summary>Upute: </summary> <img src="https://www.mathkiss.com/uploads/zec2.jpg" width="300"/> </details> <p><b>(a) Calculate the sum of §§V0(10,20,1)§§ and §§V1(5,15,1)§§. Which expression matches the calculation?</b></p> <p>§§V0(10,20,1)§§+§§V1(5,15,1)§§</p> <p><b>(b) Subtract §§V2(30,50,1)§§ from §§V3(70,100,1)§§. Which result is correct?</b></p> <p>§§V3(70,100,1)§§-§§V2(30,50,1)§§</p> <p><b>(c) Multiply §§V4(3,7,1)§§ by §§V5(5,10,1)§§. Which result matches the calculation?</b></p> <p>§§V4(3,7,1)§§×§§V5(5,10,1)§§</p> <p><b>(d) Divide §§V6(100,200,10)§§ by §§V7(2,10,1)§§. What is the quotient?</b></p> <p>§§V6(100,200,10)§§÷§§V7(2,10,1)§§</p> <p><b>(e) Calculate the square of §§V8(4,9,1)§§. Which expression is correct?</b></p> <p>(§§V8(4,9,1)§§)²</p> <p><b>(f) Find the difference between §§V9(20,40,1)§§ and the sum of §§V10(5,10,1)§§ and §§V11(10,20,1)§§.</b></p> <p>§§V9(20,40,1)§§-(§§V10(5,10,1)§§+§§V11(10,20,1)§§)</p> <p><b>(g) A number §§V12(50,100,5)§§ is divided into 4 equal parts. What is each part?</b></p> <p>§§V12(50,100,5)§§÷4</p> <p><b>(h) Find the product of §§V13(6,12,1)§§ and §§V14(7,14,1)§§. Which is correct?</b></p> <p>§§V13(6,12,1)§§×§§V14(7,14,1)§§</p> <p><b>(i) Subtract §§V15(200,400,20)§§ from §§V16(500,800,50)§§ and then multiply by §§V17(2,5,1)§§.</b></p> <p>(§§V16(500,800,50)§§-§§V15(200,400,20)§§)ק§V17(2,5,1)§§</p> <p><b>(j) A number §§V18(25,50,5)§§ is increased by 20% of itself. What is the final value?</b></p> <p>§§V18(25,50,5)§§+(§§V18(25,50,5)§§×0.2)</p> Einführung: Die Multiplikation und Division von Wurzeln erfolgt gemäß den folgenden Regeln: - Für die Multiplikation: \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \) - Für die Division: \( \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} \) Beispiel: \( \sqrt{3} \cdot \sqrt{12} = \sqrt{3 \cdot 12} = \sqrt{36} = 6 \) \( \frac{\sqrt{18}}{\sqrt{2}} = \sqrt{\frac{18}{2}} = \sqrt{9} = 3 \) Aufgaben (a) \( \sqrt{5} \cdot \sqrt{20} \) (b) \( \sqrt{7} \cdot \sqrt{14} \) (c) \( \frac{\sqrt{50}}{\sqrt{2}} \) (d) \( \frac{\sqrt{32}}{\sqrt{8}} \) (e) \( \sqrt{9} \cdot \sqrt{16} \) (f) \( \frac{\sqrt{81}}{\sqrt{3}} \) (g) \( \sqrt{6} \cdot \sqrt{24} \) (h) \( \frac{\sqrt{48}}{\sqrt{3}} \) (i) \( \sqrt{11} \cdot \sqrt{11} \) (j) \( \frac{\sqrt{100}}{\sqrt{25}} \)