False. A Republic, by its nature, is guided by a constitution, such as ours which protects the rights of individuals and minorities. Democracies have no such constitutional requirement, allowing them to trample on the rights of individuals and become tyrannical.
Definition of "democracy":
"A system of government by the whole population or all the eligible members of a state, typically through elected representatives."
Definition of "republic":
"a state in which supreme power is held by the people and their elected representatives, and which has an elected or nominated president rather than a monarch."
They seem fairly similar: because they are. The confusion is between direct democracy (the type of democracy you're referring to) and representative democracy (in fact, nearly all "republics" today use this form).