There is a rational number and an irrational number. What will be the product of these two numbers?

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Rational number

Irrational number

Either rational or irrational

None

answer is B.

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Detailed Solution

The product of one rational and one irrational number is an irrational.
For example, we know that

\sqrt{2}

is an irrational numbers while 2 is a rational number.
Here, the product of these two numbers,

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

, which is an irrational number.
Now, suppose another numbers

\sqrt{3}

is an irrational number while 4 is a rational number. when we multiply

these numbers

, we get,

\sqrt{3} \times 4 = 4 \sqrt{3}

So, the product of one rational and one irrational number is an irrational.
Correct option is 2.

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