Algebra
AP Euro GIANT outline
THE GIANT AP Euro Review The Renaissance *The Causes of the Renaissance* - The Middle Ages, which began around 500 AD, finally came to an end around 1450 AD. - Though the beginning of the Renaissance, which signaled the end of the Middle Ages, occurred in the city-states of Italy, the same reasons that caused the Renaissance to begin in Italy caused it to appear in the rest of Western Europe. - The conditions that led to the Renaissance in Italy are as follows: Because of the Crusades, and the new trade routes, Europeans began to come in contact with other, more advanced civilizations, which influenced them greatly. The Church, due to the scandals that occurred, lost much of its power, and people began to doubt its ultimate authority.
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Example 1 Example 2 Exercises Chapter 10 6 Glencoe Algebra 1 Study Guide and Intervention Simplifying Radical Expressions NAME ______________________________________________ DATE______________ PERIOD _____ 10-1 Copyright ? G lencoe/M cG ra w -H ill, a division of The M cG ra w -H ill Com panies , Inc. Product Property of Square Roots The Product Property of Square Roots and prime factorization can be used to simplify expressions involving irrational square roots. When you simplify radical expressions with variables, use absolute value to ensure nonnegative results. Product Property of Square Roots For any numbers a and b, where a ? 0 and b ? 0, ?ab? ? ?a? ? ?b?. Simplify ?180?. ?180? ? ?2 ? 2 ?? 3 ? 3?? 5? Prime factorization of 180
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