Practice Revisiting Irrational Numbers (1.3) - REAL NUMBERS

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6 sample questions

Question 1.
What is an irrational number? Give an example.
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Think about numbers that go on forever without repeating.
Question 2.
State the Fundamental Theorem of Arithmetic.
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It relates to prime factorization.
3Question 3.
Which of the following is an irrational number?
- 3
- 2.5
- \$ \\sqrt{2} \$
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Remember the definition of irrational.
4Question 4.
True or False: The square of an irrational number is always rational.
- True
- False
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Consider examples like \$ \\sqrt{2} \$.
Question 5.
Prove that the sum of two irrational numbers can be rational.
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Think about how some irrational numbers can cancel out.
Question 6.
Demonstrate using proof by contradiction that $7 + \sqrt{3}$ is irrational.
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Follow the previous proof structure for guidance.

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