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Question

Give an example of two irrational numbers, whose product is an irrational number.

A
3,3
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B
2,2
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C
2,2
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D
2,3
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Solution

The correct option is D 2,3
Consider option A.
The number are 3 and 3.
Their product =3×3=3, which is a rational number.

Consider option B.
The number are 2 and 2.
Their product =2×2=2, which is a rational number.

Consider option C.
The number are 2 and 2.
Their product =(2)×(2)=2, which is a rational number.

Consider option D.
The number are 2 and 3
Their product =2×(3)=6, which is an irrational number.

Therefore, option D is correct.

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