If \(\sqrt{2025}\times \sqrt{256}+\sqrt{400}\times x=34\times 40\), then the value of x is:

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  1. 36
  2. 28
  3. 32
  4. 22

Answer (Detailed Solution Below)

Option 3 : 32
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Detailed Solution

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Given:

If √(2025) × √(256) + √(400) × x = 34 × 40

Formula used:

√(a) × √(b) = √(a × b)

Calculation:

⇒ √(2025) × √(256) + √(400) × x = 34 × 40

√ (2025 × 256) + √(400) × x = 1360

⇒ 720 + 20 × x = 1360

⇒ 20x = 1360 - 720

⇒ 20x = 640

⇒ x = 32

∴ The correct answer is option 3.

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