0
NO!!!! It is NOT irrational. Reason, it can be converted to a Ratio(fraction).
How do I know???
-
You have not indicated that the decimals go to inifinity.
-
There is a regular order in the digits.
As given it is a terminal decimal 0.57575757
If it was an infinite decimal it should read 0.57575757... ( Note the dots that indicate it contiunes to infinity.
As a terminal decimal its fraction is 57575757/100000000 Ugh!!!!
As an infinite decimal it can be converted to a ratio(fraction)
Hence
Let P = 0.57575757...
&
100P = 57.57575757....
Subtract
99P = 57 ( Notice the repeating decimals subtract to zero.
P = 57/99
Cancel down by '3'
P = 19/33 THe answer
0.575757... = 19/33
&
0.57575757 = 57575757/100000000
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