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What is the simplest form of \(\sqrt{32}\)?\(\sqrt{32}\) का सरलतम रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4\sqrt{2}\)\(4\sqrt{2}\)
Since \(32=16\times2\) and \(16\) is a perfect square, \(\sqrt{32}=\sqrt{16\times2}=\sqrt{16}\times\sqrt{2}=4\sqrt{2}\). Therefore, option C is correct. Exam tip: To simplify a surd, factor the number using its largest perfect-square factor.\(32=16\times2\) और \(16\) एक पूर्ण वर्ग है। इसलिए \(\sqrt{32}=\sqrt{16\times2}=\sqrt{16}\times\sqrt{2}=4\sqrt{2}\)। अतः सही विकल्प C है। ध्यान रखें कि वर्गमूल को सरल करने के लिए उसके अंदर सबसे बड़े पूर्ण वर्ग गुणनखंड को बाहर निकालें।
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