No.
As a terminating decimal 3.66 = 366/100 (= 366/100) which is a fraction and so rational
If that is meant to be a recurring decimal, 3.66... = 36/9 = 11/3 which is a raction and so rational.
A decimal is irrational only if it is non-terminating (goes on forever) and do not repeat.
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The factors of 366 are: 1 2 3 6 61 122 183 366
the prime factorization of 366 is 2x3x61
If it says "negative irrational", then obviously it is irrational.
Irrational Number
The sum of two irrational numbers may be rational, or irrational.