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كويز تفاعلي: Multiplying & Dividing Radical Expressions - Reveal

Radical expressions involving square roots are fundamental in algebra. Simplifying these expressions requires an understanding of the product and quotient properties of radicals, such as the rule that the product of two square roots is the square root of their product. This worksheet covers multiplying radicals with variables, dividing radicals to simplify fractions, and rationalizing denominators by multiplying by conjugates. Students also apply distributive properties and the FOIL method to simplify expressions containing binomial radicals, ensuring that all final answers are in their simplest radical form.
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رقم الاختبار 834
الصف الصف العاشر المتقدم
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025/2026
عدد الأسئلة 14
إجمالي النقاط 14
تاريخ الإضافة 2026-04-21
الزيارات 207
الناشر Amal Salman
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
DB question no.: 1
Points: 1
Multiply and simplify. Assume that all variables are positive. \(\sqrt{8y^5} \cdot \sqrt{40y^2}\)
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Question 2
DB question no.: 2
Points: 1
Divide and simplify. Assume that all variables are positive. \(\frac{\sqrt{600}}{\sqrt{6}}\)
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Question 3
DB question no.: 3
Points: 1
Divide and simplify. Assume that all variables are positive. \(\frac{\sqrt{180x^5}}{\sqrt{5x^3}}\)
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Question 4
DB question no.: 4
Points: 1
Simplify \((\sqrt{2} - 3)(\sqrt{2} + 3)\)
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Question 5
DB question no.: 5
Points: 1
Simplify \((\sqrt{5} - 7)^2\)
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Question 6
DB question no.: 6
Points: 1
Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)
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Question 7
DB question no.: 7
Points: 1
Simplify \(\frac{2 + \sqrt{6}}{3 - \sqrt{6}}\)
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Question 8
DB question no.: 8
Points: 1
Simplify \(\frac{1}{\sqrt{2}}\)
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Question 9
DB question no.: 9
Points: 1
Simplify \(\sqrt{2}(5 + \sqrt{2})\)
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Question 10
DB question no.: 10
Points: 1
\(\sqrt{5} \times \sqrt{10}\)
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Question 11
DB question no.: 11
Points: 1
Simplify: \(6\sqrt{2} \cdot 5\sqrt{14}\)
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Question 12
DB question no.: 12
Points: 1
Simplify \(3\sqrt{5}(-5\sqrt{5} + 4)\)
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Question 13
DB question no.: 13
Points: 1
Simplify \((2 + \sqrt{2})(-1 + \sqrt{2})\)
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Question 14
DB question no.: 14
Points: 1
Simplify: \(\frac{3\sqrt{20}}{\sqrt{45}}\)
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