When simplifying a Square root, the decimal is used when all the digits of a given number have been used and the remainder is still not =0.
When a decimal has been put in the quotient, two zeros are added to the digits of the number in the remainder.
The process of simplifying the square root is the carried forward in normal way. At each step we can add two zeros to the number in the remainder and thus we can find a square root to any number of decimal places.
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