Proving That a Sum Is Irrational


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question 1 of 3

Which of the following statements is NOT true?

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1. How do we prove a statement is true using an indirect proof?

2. Without adding, determine which of the following statements is true about the sum 8 + 5.

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About This Quiz and Worksheet

In this combination of a quiz and worksheet, you can test your understanding of the process of proving that a sum is irrational. Some questions ask about true or false statements regarding irrational numbers, and you'll also have to answer questions about expressions involving irrational numbers.

Quiz and Worksheet Goals

The topics mentioned below are included in the questions for this quiz:

  • Using an indirect proof
  • True statements about the sum of numbers
  • Adding a rational and irrational number
  • Adding irrational numbers together

Skills Practiced

  • Making connections - use your understanding of math to explain what the sum of a rational and irrational number is
  • Information recall - remember what you have learned about irrational numbers
  • Knowledge application - use what you know to answer questions about using irrational numbers in equations

Additional Learning

To learn more, visit the lesson titled Proving That a Sum Is Irrational. There, you can look into the following extra subjects:

  • Rational vs. irrational numbers
  • Sums of different combinations of numbers
  • Plugging numbers into equations