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If x = √(7 + 14√(7 + √(3 + 1))), then what is the value of (x - 5)?1. 72. 23. 54. 4 |
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Answer» Correct Answer - Option 2 : 2 Given: x = √(7 + 14√(7 + √(3 + 1))) Calculations: √4 = 2, √9 = 3, √49 = 7 x = √(7 + 14√(7 + √(3 + 1))) ⇒ x = √(7 + 14√(7 + √4)) ⇒ x = √(7 + 14√(7 + 2)) [√4 = 2] ⇒ x = √(7 + 14√9) ⇒ x = √(7 + 14 × 3) [√9 = 3] ⇒ x = √(7 + 42) ⇒ x = √49 ⇒ x = 7 [√49 = 7] Now, x - 5 = 7 - 5 ⇒ x - 5 = 2 ∴ The value of (x - 5) is 2 |
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