vermont
Vermont's nickname is Green Mountain State.
Vermont-the green mountain state
Vermont, which is called the Green Mountain State.
Vermont is also known as the Green Mountain State
Massachusetts
Green Acres
The state nickname for Hawaii is "The Aloha State." This nickname reflects the friendly and welcoming spirit of the Hawaiian people and the tradition of greeting others with the word "aloha," which means love, peace, and compassion.
No state's capital name contains the word lake.
It might help if you specified what nickname you meant. The only nickname for Nevada I know of leaves me puzzled as to whether you don't understand the word "silver" or you don't understand the word "state".
The name Vermont originates from two French words, vertand montagne. The first word means green and the second mountain. They were combined to form Vermont, hence the state's nickname: Green Mountains. (You may wish to check the spelling of the first word!)
It is said that George Washington used the word empire when referring to the State's resources.