1.

If x = √(7 + 14√(7 + √(3 + 1))), then what is the value of (x - 5)?1. 72. 23. 54. 4

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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