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Oned square root (Posted on 2019-06-03)

Calculate √0.111...11 (There are 100 1's after the decimal point).

No Solution Yet Submitted by Danish Ahmed Khan

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thoughts

| Comment 1 of 4

What's under the radical is (1/9)*(1 - 10^(-100))

sqrt(1/9) is obviously 1/3

The other factor, (1 - 10^-100) can be written as

10^100 - 1
----------
10^100

The denominator's square root is 10^50.

The numerator consists of 100 9's. I don't see a way of getting its square root.

Posted by Charlie on 2019-06-03 22:02:55

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