Question
Download Solution PDFयदि 5\(\sqrt{3}\) + \(\sqrt{75}\) = 17.32 है, तब 14\(\sqrt{3}\) + \(\sqrt{108}\) का मान कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
5\(\sqrt{3}\) + \(\sqrt{75}\) = 17.32
गणना:
5\(\sqrt{3}\) + \(\sqrt{75}\) = 17.32
⇒ 5\(\sqrt{3}\) + \(5\sqrt{3}\) = 17.32
⇒ \(10\sqrt{3}\) = 17.32
⇒ \(\sqrt{3}\) = 17.32/10
⇒ \(\sqrt{3}\) = 1.732 ....(1)
अब,
14\(\sqrt{3}\) + \(\sqrt{108}\)
⇒ 14\(\sqrt{3}\) + \(\sqrt{36 × 3}\)
⇒ 14\(\sqrt{3}\) + \(6\sqrt{3}\)
⇒ \(20\sqrt{3}\)
⇒ 20 × 1.732 (1 से)
⇒ 34.64
∴ 14\(\sqrt{3}\) + \(\sqrt{108}\) का मान 34.64 है।
Last updated on Jul 17, 2025
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