claim词根是：这2个词，proclaim有点正式宣告或公开宣告的意思，宣告的中文意思比声明要严肃和范围大。claim的意思就是根据权利来声明的意思，比如根据权利索赔，根据权利认领之类。
侧重点不一样，用途也有较大区别，看例句。
A: Claim:动词="To state to be true, to assert or maintain..."
(1) He claims to be the best runner in the class./He claimed to be telling the truth 硬说/声称
(2) You must claim your money back if the goods are damaged. 要求
(3) Does anyone claim this book? 认领
(4) Mary planned to claim for damages against her employer. 索赔
B: Proclaim:动词
(1) "to announce or state publicly" = Lin Dan was proclaimed the champion of the badminton tournament. 公开宣布
(2) Idi Amin launched a coup and proclaimed himself the president of Uganda.宣告
(3) Prince William was proclaimed the King of Spain.宣告
最后说一下词根pro, 表示“向前，在前”
比如 profess 公开表明,坦白(pro+fess说→在前面说坦白)
那么proclaim公开宣告（pro+claim声明→在前面声明，就是公开宣告）
