If the product of two irrational numbers is rational, then which of the following can be concluded ? (1) The ratio of the greater and the smaller numbers is an integer (2) The sum of the numbers must be rational (3) The excess of the greater irrational number over the smaller irrational number must be rational (4) None of these

Dear Student,It can be proved using an example. Let us take two irrational number 2  and 18Product of both number = 2  ×18 =6On dividing 182=9=3So, we can see that after division we are getting 3 integer. So, option 1- "The ratio of the greater and the smaller numbers is an integer" is true and can be concluded.Regards

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1 one will be correct
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how?
 
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