Practice - Question Number 11
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Practice Questions
Test your understanding with targeted questions
What is an irrational number?
💡 Hint: Think about definitions involving fractions.
Can you give an example of an irrational number?
💡 Hint: Consider numbers that can't be precisely written as fraction.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a key feature of irrational numbers?
💡 Hint: Consider their definitions closely.
True or False: √2 can be expressed as a ratio of two integers.
💡 Hint: Think about previous discussions regarding numbers.
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Challenge Problems
Push your limits with advanced challenges
Prove using induction based on parity that the sum of any two odd integers is even.
💡 Hint: Focus on the properties of odd integers.
Using strong induction, show that if √n is irrational for n=2, it remains true for any integers beyond that.
💡 Hint: Revisit the structure of your proof for clarity.
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