हल कीजिए: (√38.44 ÷ √9.61 x√86.49 ÷ √9.61) x (√38.44 ÷ √9.61 x√86.49 ÷ √9.61) = ?

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UP Police SI (दरोगा) Official PYP (Held On: 20 Nov 2021 Shift 1)
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  1. 12
  2. 48
  3. 36
  4. 24

Answer (Detailed Solution Below)

Option 3 : 36
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दिया गया है:

(√38.44 ÷ √9.61 x √86.49 ÷ √9.61) x (√38.44 ÷ √9.61 x √86.49 ÷ √9.61) = ?

प्रयुक्त सूत्र:

√a ÷ √b = √(a ÷ b)

(x x y) x (x x y) = (x x y)2

गणना:

माना x = √38.44 ÷ √9.61 और y = √86.49 ÷ √9.61

⇒ x = √(38.44 ÷ 9.61) = √4 = 2

⇒ y = √(86.49 ÷ 9.61) = √9 = 3

⇒ व्यंजक = (x x y) x (x x y) = (2 x 3)2 = (6)2 = 36

∴ सही उत्तर 36 है।

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