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.
As a product of its prime factors: 2*3*61 = 366 is one example
Irrational Number