Infinite square roots

Algebra Level 2

5 + 5 + 5 + 5 + ⋯ = ? \large \sqrt{5 +\sqrt{5 + \sqrt{5 + \sqrt{5 + \cdots }}}} = \, ?

Give your answer to 3 decimal places.

3.142 2.791 1.753 1.442

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Onkar Shirodkar by Onkar Shirodkar , 30, India

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1 solution

Noel Lo
Jun 7, 2016

1 + 21 2 \frac{1+\sqrt{21}}{2}

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