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Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number. |
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Answer» Let the two irrational numbers as 2 + √3 and 3 – √3 Their sum is 2 + √3 + 3 – 3√3 which is a rational number. But the sum of 3 + √5 and 4 – √7 is not a rational number. So the sum of two irrational numbers is either rational or irrational. Again taking two irrational numbers as π and 3/π their product is √3 and √2 = √3 x √2 which is irrational, So the product of two irrational numbers is either rational or irrational. |
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