Vector Algebra

If \(|\bar{a}|=2,|\bar{b}|=3,|\bar{c}|=5\) and each of the angles between the vectors \(\bar{a}\) and \(\bar{b}, \bar{b}\) and \(\bar{c}\), \(\bar{c}\) and \(\bar{a}\) is \(60^{\circ}\), then the value of \(|\bar{a}+\bar{b}+\bar{c}|\) is