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The product of any two irrational numbers:

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Is always an irrational number.

It is always a rational number.

Is always an integer.

Can be rational or irrational.

answer is D.

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Detailed Solution

Concept- You need to be familiar with irrational numbers to be able to complete this puzzle. Irrational numbers can’t be expressed as

\frac{P}{Q}

where Q is not equal to 0. Knowing this will solve your problem.
Depending on the two numbers, the result of two irrational numbers might either be logical or irrational.
For example,

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

is 3 which is a rational number whereas

\sqrt{2} \times \sqrt{4}

\sqrt{8}

which is an irrational number. As

\sqrt{3}, \sqrt{2}, \sqrt{4}

are irrational.
Hence, option 4 is correct.

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