Question

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Answer 1

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The product of two irrational numbers can be rational or irrational depending on the two numbers.

For example,

root2 × root2 is 2 which is a rational

number

whereas

root2 × root3 is root6 which is an irrational number.

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Answer 2

Answer:

No.

The product of two irrational numbers will not be irrational.

Example:

Consider two irrational numbers (4− 3 ) and (4+ 3 )

(4− 3)(4+ 3 )=16−3=13 is not irrational.