1.3 - Revisiting Irrational Numbers
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Practice Questions
Test your understanding with targeted questions
What is an irrational number? Give an example.
💡 Hint: Think about numbers that go on forever without repeating.
State the Fundamental Theorem of Arithmetic.
💡 Hint: It relates to prime factorization.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is an irrational number?
💡 Hint: Remember the definition of irrational.
True or False: The square of an irrational number is always rational.
💡 Hint: Consider examples like \\( \\sqrt{2} \\).
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Challenge Problems
Push your limits with advanced challenges
Prove that the sum of two irrational numbers can be rational.
💡 Hint: Think about how some irrational numbers can cancel out.
Demonstrate using proof by contradiction that \( 7 + \sqrt{3} \) is irrational.
💡 Hint: Follow the previous proof structure for guidance.
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