    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)×(√3−√2)=1. Both (√3+√2) and (√3−√2) 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.  Suggest Corrections  0      Similar questions  Related Videos   Revisiting Irrational Numbers
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