Find the value of the infinite nested radical expression: 20 − 20 − 20 − 20 − … \sqrt{20 - \sqrt{20 - \sqrt{20 - \sqrt{20 - \ldots}}}} 20 − 20 − 20 − ...

Question

Find the value of the infinite nested radical expression:

20202020\sqrt{20 - \sqrt{20 - \sqrt{20 - \sqrt{20 - \ldots}}}}

Options

A.

$4$

B.

$6$

C.

$5$

D.

$2$

infinite nested radicalquadratic equationalgebrasquare root

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