Depending on which trailhead you decide to take, you need to reach the summit of K2, which is a point northeast of the summit of Capitol. Starting from the Capitol Creek Trailhead, you have a longer approach. While starting from the Snowmass Creek Trailhead, you have a shorter approach but have to battle 2 miles of boulder hopping. From K2, descend down the ridge towards Capitol Peak. This is where the fun starts. You can decide if you want to use a rope on the Knife Edge ridge or not. The climbing is very easy; however, there is a lot of exposure. Once past the Knife Edge ridge, scramble to the summit.