SOLUTION: HELP PLEASE!! Give an example of two irrational numbers whose product is an irrational number. AND Give an example of two irrational numbers whose product is a rational number.

Question 256349: HELP PLEASE!!
Give an example of two irrational numbers whose product is an irrational number. AND Give an example of two irrational numbers whose product is a rational number.
Found 2 solutions by palanisamy, jim_thompson5910:
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Sqrt 2 is an irrational number
2*sqrt2 is an irrational number
Their product sqrt2*2*sqrt2 = 4 is a rational number
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1 Give an example of two irrational numbers whose product is an irrational number.

The numbers and are both irrational and so is . So the product of and (both irrational) is (which is also irrational).

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# 2 Give an example of two irrational numbers whose product is a rational number

The numbers and are irrational, but is clearly rational.

So the product of and (both irrational) is (which is rational).
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