Question
Download Solution PDFयदि \(5\sqrt3+\sqrt{243}=24.249\) है, तो \(\sqrt{192}+15\sqrt 3\) का मान क्या होगा ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
5√3 + √243 = 24.249
हमें इसका मान ज्ञात करना है: √192 + 15√3
प्रयुक्त सूत्र:
वर्गमूलों को सरल बनाएं और बुनियादी अंकगणित का उपयोग करें।
गणना:
√243 = √(81×3) = 9√3
दिया गया: 5√3 + 9√3 = 24.249
⇒ 14√3 = 24.249
⇒ √3 = 24.249 / 14
⇒ √3 = 1.732
इसके बाद, √192 को सरल करें:
√192 = √(64×3) = 8√3
अतः, √192 + 15√3 = 8√3 + 15√3
⇒ 23√3 = 23 × 1.732
⇒ 23√3 = 39.836
⇒ दो दशमलव स्थानों तक पूर्णांकित करें = 39.84
∴ सही उत्तर 39.84 (विकल्प 4) है।
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