A student claims that the product of and is a rational number. Is the student correct? The product is actually a ________ number.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the properties of irrational numbers, specifically the product of an irrational number and another irrational number.
Key Concept Explanation
The product of two irrational numbers can be rational or irrational. In this case, both and are irrational, so their product is also irrational.
Step-by-step Solution
1. Identify the numbers: and
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