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What is the simplest form of \(\sqrt{50}\)?\(\sqrt{50}\) का सरलतम रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5\sqrt{2}\)\(5\sqrt{2}\)
Since \(50=25\times2\) and 25 is a perfect square, \(\sqrt{50}=\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}=5\sqrt{2}\). Option C is incorrect because \((2\sqrt{5})^2=20\), not 50. Exam tip: factor the radicand and take the largest perfect-square factor outside the square root.\(50=25\times2\) और \(25\) एक पूर्ण वर्ग है। इसलिए \(\sqrt{50}=\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}=5\sqrt{2}\)। विकल्प C गलत है क्योंकि \((2\sqrt{5})^2=20\), 50 नहीं। परीक्षा में मूल को सरल करने के लिए सबसे बड़े पूर्ण वर्ग गुणनखंड को बाहर निकालें।
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