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Which of the following is the simplest form of \(\sqrt{63}\)?\(\sqrt{63}\) का सरलतम रूप कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3\sqrt{7}\)\(3\sqrt{7}\)
Since \(63=9\times7\) and \(9\) is a perfect square, \(\sqrt{63}=\sqrt{9\times7}=\sqrt{9}\times\sqrt{7}=3\sqrt{7}\). Option A results from incorrectly treating \(7\) as a perfect square. In exams, identify the greatest perfect-square factor of the number under the radical.\(63=9\times7\) और \(9\) एक पूर्ण वर्ग है। इसलिए \(\sqrt{63}=\sqrt{9\times7}=\sqrt{9}\times\sqrt{7}=3\sqrt{7}\)। विकल्प A में \(7\) को पूर्ण वर्ग मानने की गलती है। परीक्षा में करणी को सरल करने के लिए सबसे बड़े पूर्ण वर्ग गुणनखंड की पहचान करें।
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