# $\sqrt {20 - \sqrt {20 - \sqrt {20 - \sqrt {20 - ...\infty } } } }$ = ?

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$\sqrt {20 - \sqrt {20 - \sqrt {20 - \sqrt {20 - ...\infty } } } }$ = ?
1. 4
2. 3
3. 2
4. 5

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Correct Answer - Option 1 : 4

Given:

$\sqrt {20 - \sqrt {20 - \sqrt {20 - \sqrt {20 - ...\infty } } } }$

Concept used:

Simplification

Calculation:

Here 20 is given inside the root.

Break it into consecutive order

⇒ 4 × 5 = 20

In case of subtraction the smaller number will be the answer.

Here Ans : 4