The victory extends the Broncos' winning streak over the Vandals to 13 straight games.
Paul Noonan added 12 points for BSU (11-3, 2-0 Western Athletic Conference).
Idaho tied the game at 56-56 with 18:25 left in the second half following a pair of Mike Hall free throws that came as a result of a technical foul by Larry. The Vandals then took the lead on a Brooks basket, 58-56, with 17:58 left.
But that was it for UI. The Broncos went on a 15-2 run that featured three Larry 3-pointers that built the BSU lead to 73-60.
The Broncos started out on a torrid pace from the field, completing the first half with a shooting percentage of 63.6 percent (21-for-33). They finished the game shooting 61.7 percent.
The Vandals hit 58.6 percent of their first-half attempts (17-for-29), but fell off in the second half as they went just 9-for-28 from the floor.
BSU started to pull away at the end of the first half, building a 48-41 lead on the heels of an 8-2 run with just under three minutes left. Brandon Brown kept Idaho close by scoring six of his nine first-half points during the final 2:17 before halftime to bring Idaho within five, 54-49, to start the second half.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.