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State whether the given statements are t...

State whether the given statements are true or false :
(i) The sum of two rationals is always rational.
(ii) The sum of two irrationals is always irrational.
(iii) The product of two rationals is always rational.
(iv) The product of two irrationals is always irrational.
(v) The sum of a rational and an irrational is always rational.
(vi) The product of a rational and an irrational is always irrational.

Text Solution

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The correct Answer is:
(i) True (ii) True (iii) True (iv) False (v) False (vi) True
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