Solve: (√38.44 ÷ √9.61 ×√86.49 ÷ √9.61) × (√38.44 ÷ √9.61 ×√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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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

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

Formula used:

√a ÷ √b = √(a ÷ b)

(x × y) × (x × y) = (x × y)2

Calculation:

Let x = √38.44 ÷ √9.61 and y = √86.49 ÷ √9.61

⇒ x = √(38.44 ÷ 9.61) = √4 = 2

⇒ y = √(86.49 ÷ 9.61) = √9 = 3

⇒ Expression = (x × y) × (x × y) = (2 × 3)2 = (6)2 = 36

∴ The correct answer is 36.

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