Question

give example for product of two irrational to be irrational not an irrational

Answer 1

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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.

Answer 2

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$\sqrt{3} \times \sqrt{3} = \sqrt{9} = rational \: no.$

$\sqrt{2} \times \sqrt{2} = \sqrt{4} = 2 \: (irrational \: no.)$