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If \(x=-5\), what is the value of \(\sqrt{x^2}\)?यदि \(x=-5\) है, तो \(\sqrt{x^2}\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 55
Using the identity \(\sqrt{x^2}=|x|\), we get \(\sqrt{(-5)^2}=|-5|=5\). The principal square root is always non-negative, so \(-5\) is not correct. Exam tip: remember that \(\sqrt{x^2}=|x|\), not always \(x\).नियम \(\sqrt{x^2}=|x|\) के अनुसार, \(\sqrt{(-5)^2}=|-5|=5\) होगा। वर्गमूल का मुख्य मान हमेशा गैर-ऋणात्मक होता है, इसलिए \(-5\) सही उत्तर नहीं है। परीक्षा में याद रखें: \(\sqrt{x^2}\) का मान \(x\) नहीं, बल्कि \(|x|\) होता है।
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