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اختبار اختيار من متعدد 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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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.

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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 286
الناشر Amal Salman
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
Multiply and simplify. Assume that all variables are positive. \(\sqrt{8y^5} \cdot \sqrt{40y^2}\)
Question 2
Points: 1
Divide and simplify. Assume that all variables are positive. \(\frac{\sqrt{600}}{\sqrt{6}}\)
Question 3
Points: 1
Divide and simplify. Assume that all variables are positive. \(\frac{\sqrt{180x^5}}{\sqrt{5x^3}}\)
Question 4
Points: 1
Simplify \((\sqrt{2} - 3)(\sqrt{2} + 3)\)
Question 5
Points: 1
Simplify \((\sqrt{5} - 7)^2\)
Question 6
Points: 1
Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)
Question 7
Points: 1
Simplify \(\frac{2 + \sqrt{6}}{3 - \sqrt{6}}\)
Question 8
Points: 1
Simplify \(\frac{1}{\sqrt{2}}\)
Question 9
Points: 1
Simplify \(\sqrt{2}(5 + \sqrt{2})\)
Question 10
Points: 1
\(\sqrt{5} \times \sqrt{10}\)
Question 11
Points: 1
Simplify: \(6\sqrt{2} \cdot 5\sqrt{14}\)
Question 12
Points: 1
Simplify \(3\sqrt{5}(-5\sqrt{5} + 4)\)
Question 13
Points: 1
Simplify \((2 + \sqrt{2})(-1 + \sqrt{2})\)
Question 14
Points: 1
Simplify: \(\frac{3\sqrt{20}}{\sqrt{45}}\)

Result Tracking

Answered 0 / 14
Correct Answers 0
Wrong Answers 0
Current Percentage 0%

Quiz Completed

This is your final result after answering all questions.

Final Result 0/14 0%
Correct Answers 0
Wrong Answers 0
Answered Questions 0 / 14
Total Possible Points 14

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