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We know that if we input any positive natural number in a calculator and keep on pressing the square root button, finally we get

We know that if we input any positive natural number in a calculator and keep on pressing the square root button, finally we get 1. Show that if you do this experiment on an n-digit calculator, then starting with some positive number, the number of times you need to press the square root button to reach 1 is at most ,

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