Short answers, pulled from the story.
American troops seized the intact Ludendorff Bridge at Remagen on the 7th of March 1945. This crossing allowed General Omar Bradley's U.S. 12th Army Group to push south of German forces commanded by Field Marshal Walter Model.
The complete encirclement created near Lippstadt on the 1st of April 1945 surrounded 317,000 German troops positioned to their west. These prisoners were later held in Rheinwiesenlager camps near Remagen as temporary enclosures after organized resistance ended on the 18th of April.
Field Marshal Walter Model committed suicide on the afternoon of the 21st of April rather than face trial for war crimes. He refused to surrender because he knew Hitler would not authorize it and could not reconcile capitulation with demands placed on officers throughout the war.
American forces suffered 10,000 casualties total including 2,000 killed or missing during the reduction of the pocket. Ninth Army losses included 341 killed, 121 missing and nearly 2,000 wounded while First Army lost three times more.
Fighting continued in cities like Dortmund Wuppertal and Hamm even as Bürgermeisters in Duisburg and Essen presented white flags to invading U.S. troops. German defenders held positions along the Dortmund Ems Canal and the Sieg river-line for eight days starting on the 4th of April.