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اختبار إلكتروني: Multiplying & Dividing Radical Expressions

Simplifying expressions involving radicals is a fundamental algebraic skill. This process includes using the product and quotient rules, rationalizing denominators to remove radicals from the bottom of a fraction, and applying the distributive property to multiply binomials containing roots. Mastery of these techniques ensures that mathematical expressions are presented in their most standard and concise form.
رقم الاختبار 835
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 50
المعلم أو 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
Simplify \(\frac{1}{2 + \sqrt{3}}\)
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 \(\frac{3\sqrt{20}}{\sqrt{45}}\)

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Final Result 0/14 0%
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Total Possible Points 14

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