SOLUTION: Is the quotient of two irrational numbers always an irrational number? Why or why not? Show worked out examples to support your reply.

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Question 448533: Is the quotient of two irrational numbers always an irrational number?
Why or why not?
Show worked out examples to support your reply.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is no. Consider dividing sqrt%288%29 (which is irrational) by sqrt%282%29 (which is also irrational) to get sqrt%288%29%2Fsqrt%282%29=sqrt%288%2F2%29=sqrt%284%29=2, but this is rational. So the answer is "no".