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If a and b are irrational numbers, which of the following statements is correct?यदि a और b अपरिमेय संख्याएँ हैं, तो निम्नलिखित में से कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Their product can be rationalउनका गुणनफल परिमेय हो सकता है
The product of two irrational numbers can be rational. For example, \(\sqrt{2}\times\sqrt{2}=2\), and 2 is rational. Hence, “always irrational” is false. Exam tip: test universal claims using a counterexample.दो अपरिमेय संख्याओं का गुणनफल परिमेय हो सकता है। उदाहरणतः \(\sqrt{2}\times\sqrt{2}=2\), जो परिमेय है। इसलिए “हमेशा अपरिमेय” गलत है। परीक्षा में प्रति-उदाहरण से ऐसे कथन जाँचें।
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