Yes, it is.
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Yes, the number 57 is a rational number, as it can be written as a fraction.
Yes
No
8.57 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 857/100. You can simplify this rational fraction if you require. As a mixed number, it is 8 57/100.
Since 57 is not a perfect square, its square root is IRRATIONAL.