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प्रश्न
State whether the given statement is true or false:
The product of a rational and an irrational is irrational
चूक किंवा बरोबर
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उत्तर
This statement is false.
Explanation:
If the rational number is 0, then (0 \times) (irrational) (= 0), which is rational. So the product of a rational and an irrational is not always irrational. It is irrational when the rational number is nonzero.
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पाठ 1: Real Numbers - EXERCISE 1D [पृष्ठ ३७]
