Question

the product of two non zero irrational numbers is

Answer 1

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•     The product of two non zero irrational number is _______.

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•     The product of two non zero irrational number may be irrational or rational.

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Let us consider two irrational numbers say $\sqrt{2}$ and $\sqrt{2}$

So,Product = $\sqrt{2}\times\sqrt{2}=2$, which is rational.

If the numbers are $\sqrt{2}$ and $\sqrt{3}$, then,

Product = $\sqrt{2}\times\sqrt{3}=\sqrt{6}$, which is irrational.

Therefore, product of two non zero irrational number may be rational or irrational.