Being Rational About Irrational Numbers

In this module, you have learned:

• The sum or product of two rational numbers is rational.
• The sum of a rational number and an irrational number is irrational.
• The product of a nonzero rational number and an irrational number is irrational.

Apply these properties of rational and irrational numbers by completing the activity below.

For each formula in the activity, it is given that each variable is a rational number. Assuming all solutions are real number solutions, indicate whether the value of the formula could be a rational number, an irrational number or both.

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