In the complex \( [Co(H_2NCH_2CH_2NH_2)_3]_2(SO_4)_3 \), the \( \text{SO}_4^{2-} \) ions contribute -2 charge each.
Since there are three \( \text{SO}_4^{2-} \) ions per complex, the total negative charge is \( 3 \times (-2) = -6 \).
Let the oxidation number of Co be \( x \).
Since the complex is neutral, the sum of charges must equal zero.
For each Co complex, we have: \[ 2x + (-6) = 0 \] \[ 2x = 6 \] \[ x = 3 \] Thus, the oxidation number of Co is +3.