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Question

The product of two irrational numbers is a/an


A

Irrational number

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B

Rational number

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C

Real number

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D

Integer

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Solution

The correct options are
A

Irrational number


B

Rational number


C

Real number


D

Integer


The product of two irrational numbers will be either a rational or an irrational number.

Consider the following example: (3+2)×(32)=1.
Both (3+2) and (32) are irrational numbers and their product is 1.
1 is an integer and since, all integers are rational numbers as well, we can infer that product of two irrational numbers may be an integer, a rational number or an irrational number and they are all real numbers.


When we multiply the irrational numbers 2 and 3, we get 6, which is also an irrational number.


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