What is the product of two irrational numbers?

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Always irrational

Always rational

Can be both rational and irrational

Always an integer

answer is C.

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Detailed Solution

The product of two irrational number either be rational or irrational.
For example, we know that

\sqrt{2}

and

\sqrt{3}

are two irrational numbers.
Here, the product of these two numbers,

\sqrt{2} \times \sqrt{3} = \sqrt{6}

, which is an irrational number.
Now when we multiply

\sqrt{3}

with itself, we get,

\sqrt{3} \times \sqrt{3} = \sqrt{9}

\sqrt{3} \times \sqrt{3} = 3

which is a rational number.
So, the product of two irrational number either be rational or irrational.
Hence, option 3 is correct.

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