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Mathematics

Give an example each of two different irrational numbers , whose

(i) sum is an irrational number.

(ii) product is an irrational number.

Rational Irrational Nos

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Answer

Let a = 2\sqrt{2} and b = 3\sqrt{3} are two different irrational numbers :

(i) a + b = 2\sqrt{2} + 3\sqrt{3} is also an irrational number.

(ii) a × b = 2\sqrt{2} × 3\sqrt{3} = 6\sqrt{6} is also an irrational number.

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