SOLUTION: An example of the sum of two irrational numbers may be and irrational number? An example the sum of two rational numbers may be a rational number? An example the product of two i

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Question 206081: An example of the sum of two irrational numbers may be and irrational number?
An example the sum of two rational numbers may be a rational number?
An example the product of two irrational numbers may be an irrational number?
An example thr product of two irrational numbers may be a rational number?
Please, as I'm stuck on these questions
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started.

An example of the sum of two irrational numbers may be and irrational number? The numbers sqrt%282%29 and sqrt%288%29 are both irrational and sqrt%282%29%2Bsqrt%288%29=sqrt%282%29%2B2%2Asqrt%282%29=3%2Asqrt%282%29 which is also irrational.


An example the sum of two rational numbers may be a rational number? 1%2F2 and 2%2F3 are both rational. Adding them together gets us 1%2F2%2B2%2F3=3%2F6%2B4%2F6=7%2F6 which is also rational.