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If (a=\sqrt{2}) and (b=\sqrt{8}), what is (ab)?यदि (a=\sqrt{2}) और (b=\sqrt{8}) तो (ab) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Here, \(ab=\sqrt{2}\times\sqrt{8}=\sqrt{2\times8}=\sqrt{16}=4\). Therefore, the correct answer is 4. \(\sqrt{10}\) results from an incorrect addition-based approach, whereas the given quantities are being multiplied. Exam tip: for multiplication of square roots, use \(\sqrt{x}\,\sqrt{y}=\sqrt{xy}\).यहाँ \(ab=\sqrt{2}\times\sqrt{8}=\sqrt{2\times8}=\sqrt{16}=4\) है। इसलिए सही उत्तर 4 है। \(\sqrt{10}\) जोड़ने पर मिलने वाली गलत अभिव्यक्ति है, क्योंकि यहाँ \(a\) और \(b\) का गुणन किया गया है। परीक्षा टिप: समान मूल वाले पदों के गुणन में \(\sqrt{x}\,\sqrt{y}=\sqrt{xy}\) का नियम लगाएँ।
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