Question

$\sqrt{6 + \sqrt{ 6 + \sqrt{6} } }$
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Answer 1

Answer:

Hey mate, Good evening ♥️

#Here's ur answer...☆☆☆

Step-by-step explanation:

$let \: x = \sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6...} } } } \\ = > {x}^{2} = 6 + \sqrt{6 + \sqrt{6....} } \\ = > {x}^{2} = 6 + x \\ = > {x}^{2} - x - 6 = 0 \\ = > {x}^{2} - 3x + 2x - 6 = 0 \\ = > x(x - 3) + 2(x - 3) = 0 \\ = > (x + 2)(x - 3) = 0 \\ x \: cant \: be \: - 2 \: so \\ x = 3(ans)$

Hope this helps you...✌✌

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