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It seems to be 25.

Call your number "x".

x = 5 square root of (5 square root of (5 ...)

Square it; this will eliminate the outermost square root sign:

x squared = 25 times 5 square root of (5 square root of (...

Dividing the second equation by the first one, you get:

x squared / x = 25 x / x

x = 25

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Q: What is the square root of 5square root of 5 square root of 5 and so on?
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