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If (x=\sqrt{27}-\sqrt{12}) then what is the value of (x)?यदि (x=\sqrt{27}-\sqrt{12}) तो (x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{3}\)\(\sqrt{3}\)
Since \(27=9\times3\) and \(12=4\times3\), \(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Therefore, \(x=3\sqrt{3}-2\sqrt{3}=\sqrt{3}\). \(2\sqrt{3}\) is only the simplified value of \(\sqrt{12}\), not the value of the difference. Exam tip: simplify both surds to like radicals before subtracting.\(27=9\times3\) और \(12=4\times3\) हैं। इसलिए \(\sqrt{27}=3\sqrt{3}\) तथा \(\sqrt{12}=2\sqrt{3}\)। अतः \(x=3\sqrt{3}-2\sqrt{3}=\sqrt{3}\)। \(2\sqrt{3}\) केवल \(\sqrt{12}\) का सरल रूप है, अंतर का मान नहीं। परीक्षा में घटाने से पहले दोनों वर्गमूलों को समान करणी \(\sqrt{3}\) के रूप में सरल करें।
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