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State whether the given statement is true or false: (i) The sum of two irrationals is an irrational (ii) The product of two irrationals is an irrational

Answers:

(i) The sum of two irrationals is an irrational

The given statement is False.

Reason: 2 + √3 and 2 – √3 are two irrational numbers. But their sum is 4, which is a rational number.

(ii) The product of two irrationals is an irrational

The given statement is False.

Reason: 2 √3 and 4 √3 are two irrational numbers. But their product is 24, which is a rational number.