√(6 + √(6 + √(6 + .....∞))) is equal to :√(6 + √(6 + √(6 + .....∞))) बराबर है :

1. A3
2. B4
3. C5
4. D6

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Correct answer: A. 3

Explanation

Let the value be x. Then x = √(6 + x), so x² = 6 + x, i.e. x² − x − 6 = 0, giving (x − 3)(x + 2) = 0. Since x is positive, x = 3.माना मान x है। तब x = √(6 + x), अतः x² = 6 + x, यानी x² − x − 6 = 0, जिससे (x − 3)(x + 2) = 0। x धनात्मक है, इसलिए x = 3।