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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is the number \( \sqrt{2} \) rational or irrational?
💡 Hint: Consider whether it can be expressed as a fraction.
Question 2
Easy
Write down an example of a rational number.
💡 Hint: Think of p/q forms.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is an example of an irrational number?
- 2
- 3.5
- \\( \\sqrt{5} \\)
💡 Hint: Think of numbers that involve square roots.
Question 2
Are all non-terminating decimals irrational?
- True
- False
💡 Hint: Revisit the definitions of rational numbers.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Explain how the discovery of irrational numbers has changed the way we view mathematics.
💡 Hint: Think about how irrational numbers showed the existence of 'gaps' in the rational number world.
Question 2
Consider the implications of irrational numbers in the context of geometry. Provide examples.
💡 Hint: Sketch a square and its diagonal to visualize this.
Challenge and get performance evaluation