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What can we say about the product of any two irrational numbers?

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Always an irrational number

Always a rational number

Always an integer

Sometimes rational, sometimes irrational

answer is D.

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Detailed Solution

The product of any two irrational numbers is sometimes rational and sometimes irrational.
e.g.,

2 × 2 = 2

(rational) and

2 × 3 = 6

(irrational).
The product of any two irrational numbers is sometimes irrational i.e.

2 × 3 = 6

.
Also, the product of any two irrational numbers is sometimes rational i.e.

2 × 2 = 2

. Therefore, the correct option is (4).

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