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Which of the following examples shows that the product of two irrational numbers can be rational?निम्नलिखित में से कौन-सा उदाहरण दर्शाता है कि दो अपरिमेय संख्याओं का गुणनफल परिमेय हो सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{2}\times\sqrt{8}\)\(\sqrt{2}\times\sqrt{8}\)
Both \(\sqrt{2}\) and \(\sqrt{8}\) are irrational, but \(\sqrt{2}\times\sqrt{8}=\sqrt{16}=4\), which is rational. In the other options, the product under the radical is not a perfect square. Exam tip: combine radicals before classifying the result.\(\sqrt{2}\) और \(\sqrt{8}\) दोनों अपरिमेय हैं, लेकिन \(\sqrt{2}\times\sqrt{8}=\sqrt{16}=4\), जो परिमेय है। अन्य विकल्पों में मूल के भीतर संख्या पूर्ण वर्ग नहीं बनती। परीक्षा में मूलों का गुणन पहले एक ही मूल में लिखें।
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