LONDON — Faced with growing alarm about Islamic militants who have made Britain one of Europe’s most active bases for terrorist plots, Prime Minister David Cameron has mounted an attack on the country’s decades-old policy of “multiculturalism,” saying it has encouraged “segregated communities” where Islamic extremism can thrive.

Speaking at a security conference in Munich on Saturday, Mr. Cameron condemned what he called the “hands-off tolerance” in Britain and other European nations that had encouraged Muslims and other immigrant groups “to live separate lives, apart from each other and the mainstream.”

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