Well, isn't that a happy little question! Let's turn that decimal into a fraction. 1.73 can be written as 173/100. And if we simplify that fraction, we get 173/100 reduces down to 173/100, which is already in its simplest form. Just remember, there are no mistakes, just happy little accidents!
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It is 173/20000.
As an improper fraction it is: 173/8 in its simplest form
As a fraction it is 173/5000 in its simplest form
8.65 = 865/100 = 173/20.
173 is a prime number, thus: √173