यदि  है, तो  का मान क्या होगा ?

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 25 Aug, 2024 Shift 2)
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  1. 38.84
  2. 37.84
  3. 40.84
  4. 39.84

Answer (Detailed Solution Below)

Option 4 : 39.84
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UP Police Constable Re-Exam Full Test 10
150 Qs. 300 Marks 120 Mins

Detailed Solution

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दिया 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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