Determine if the sum of and is rational or irrational. The sum is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the closure property of irrational numbers. The student must determine whether the sum of two irrational numbers is rational or irrational.
Key Concept Explanation
The sum of two irrational numbers is generally irrational unless they are additive inverses of each other. In this case, and are not additive inverses, so their sum is irrational.
Step-by-step Solution
1. Identify the numbers: and
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