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What is simplified form of (\sqrt{a^6})(\sqrt{a^6}) का सरल रूप क्या है
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(|a^3|\)\(|a^3|\)
\(\sqrt{a^6}=\sqrt{(a^3)^2}=|a^3|\), because the square root of a number squared is its absolute value. The expression \(a^3\) is valid directly only when \(a\geq 0\) is assumed. Exam tip: retain the absolute-value sign when simplifying the square root of an even power unless the variable's sign is specified.\(\sqrt{a^6}=\sqrt{(a^3)^2}=|a^3|\) होता है, क्योंकि किसी संख्या के वर्ग का वर्गमूल उसका परिमाण देता है। केवल \(a^3\) तभी लिखा जा सकता है जब \(a\geq 0\) माना गया हो। परीक्षा में सम घात के वर्गमूल को सरल करते समय परिमाण चिह्न लगाना याद रखें।
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