Yes.
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Yes it is.
No
Approximately 8.8 repeating. While true, the answer is misleading in the sense that a repeating decimal implies a rational number whereas sqrt(79) is irrational. Sqrt(79) = 8.888194..
No.
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.