सरल कीजिए: √6(729) + √4(65536) + ∛(5832) + √(1764)

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 1)
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  1. 79
  2. 121
  3. 65
  4. 133

Answer (Detailed Solution Below)

Option 1 : 79
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दिया गया है:

सरल कीजिए: √6(729) + √4(65536) + ∛(5832) + √(1764)

प्रयुक्त सूत्र:

1. √n(x) = x1/n

2. ∛(x) = x1/3

3. √(x) = x1/2

गणना:

6(729) = 7291/6

⇒ 729 = 36

⇒ 7291/6 = 3

4(65536) = 655361/4

⇒ 65536 = 216

⇒ 655361/4 = 24 = 16

∛(5832) = 58321/3

⇒ 5832 = 183

⇒ 58321/3 = 18

√(1764) = 17641/2

⇒ 1764 = 422

⇒ 17641/2 = 42

सभी को जोड़ने पर:

⇒ 3 + 16 + 18 + 42 = 79

∴ सही उत्तर विकल्प (1) है।

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