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प्रश्न
Are there two distinct irrational numbers such that their difference is a rational number? Justify
उत्तर
Taking two irrational numbers as `3 + sqrt(2)` and `1 + sqrt(2)`
Their difference is a rational number.
But if we take two irrational numbers as `2 - sqrt(3)` and `4 + sqrt(7)`.
Their difference is again an irrational number.
So unless we know the two irrational numbers
We cannot say that their difference is a rational number or irrational number.
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संबंधित प्रश्न
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(Hint: Follow the method that we have used to prove `sqrt(2)` ∉ Q)
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