Please, separate your numbers with commas, or put each one on its own line.
I do not know what you mean by 1049-- or by --√ 3.14. "--" does not belong in such a list.
1049 = 1049/1 is rational.
√ 3.14 = sqrt(pi) is irrational; can't express it as the ratio of two integers.
pi is irrational (same reason as above)
0.5 is rational; it's the ratio of integers 1 and 2: 1/2