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Mathematics

State true or false :

(i) Negative of an irrational number is irrational.

(ii) The product of a non-zero rational number and an irrational number is a rational number.

Rational Irrational Nos

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Answer

(i) True

For example, 3\sqrt{3} is irrational and 3-\sqrt{3} is also irrational.

(ii) False

For example, 2 is rational number and 2\sqrt{2} is irrational, product of these numbers i.e. 222\sqrt{2} is also irrational.

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