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📝 Irrational Exponents

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Irrational Exponents. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

7
Easy Questions
10
Medium Questions
6
Hard Questions

📝 Sample Questions

Q1. What is the value of \((\sqrt{2})^2\)?

🔹 A. 2
🔹 B. \(\sqrt{2}\)
🔹 C. 4
🔹 D. 1

💡 Difficulty: easy | ✅ Correct: A

Q2. A bacteria population follows \(P(t) = P_0 \cdot 2^{t^{0.5}}\). After how many days will the population double?

🔹 A. 1
🔹 B. 2
🔹 C. 4
🔹 D. 16

💡 Difficulty: medium | ✅ Correct: B

Q3. Is \((2^{\sqrt{2}})^{\sqrt{2}}\) rational or irrational?

🔹 A. Rational
🔹 B. Irrational
🔹 C. Cannot be determined
🔹 D. Depends on approximation

💡 Difficulty: hard | ✅ Correct: C

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🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
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