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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an irrational number? Give an example.
💡 Hint: Think about numbers that go on forever without repeating.
Question 2
Easy
State the Fundamental Theorem of Arithmetic.
💡 Hint: It relates to prime factorization.
Practice 3 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Which of the following is an irrational number?
- 3
- 2.5
- \\( \\sqrt{2} \\)
💡 Hint: Remember the definition of irrational.
Question 2
True or False: The square of an irrational number is always rational.
- True
- False
💡 Hint: Consider examples like \\( \\sqrt{2} \\).
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the sum of two irrational numbers can be rational.
💡 Hint: Think about how some irrational numbers can cancel out.
Question 2
Demonstrate using proof by contradiction that \( 7 + \sqrt{3} \) is irrational.
💡 Hint: Follow the previous proof structure for guidance.
Challenge and get performance evaluation