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Question

The product of any two irrational numbers
  1. Is always an integer
  2. Can be rational or irrational
  3. Is always an irrational number
  4. Is always a rational number

A
Is always a rational number
B
Is always an integer
C
Can be rational or irrational
D
Is always an irrational number
Solution
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The product of two irrational numbers can be rational or irrational depending on the two numbers.

For example, 2×2 is 2, which is a rational number whereas 2×3 is 6, which is an irrational number.

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