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Only
the natural numbers that are square perfects have another natural number
as a square root. In the rest of the cases, in order
to find its square root more accurately and exactly, you have to get decimal
digits.
To work
out the square root with decimal digits we follow the same method as for
natural numbers, with a slight modification:
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Type
a decimal number in the control box below (remember that you
have to use a dot instead of a comma to separate the whole
part from the decimal part).
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- Groups
of two digits are marked counting from the decimal point, in
the whole part and the decimal part.
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The square root of the whole part is obtained by following the same
steps as if it was a natural number.
If no
more accuracy is required, you can consider the operation finished,
but you can go on if more accuracy is required.
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When the whole part is finished, write a decimal point in the root.
- The next
two decimal digits are taken down.
If the radicand does not have decimal digits or it only has one
digit, you have to write zeros until you get two digits.
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You follow the same method as if it was a whole part.
- We consider
the operation finished when the number of decimal digits is the desired
result or when all the decimal digits have been taken down and the remainder
is zero.
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