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State whether the given statement is tur...

State whether the given statement is ture or flase.
(i) The sum of two rationals is always rational. (ii) The product of two rationals is always rational.
(iii) The sum of two irrationals is always an irrational .
(iv) The product of two irrationals is always an irrational.
(iv) The product of two irrationals is always an irrationals.
(v) The sum of a rational is irrational.
(vi) The product of a rational and an irrational is irrational.

Text Solution

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