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When we simplify a radical that is not a perfect square, we first rewrite the radical so that it is the product of a perfect square times another number. Then we rewrite the expression. An example is shown below. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... √ 20 Practice Simplifying Radicals = √ 4 • 5 = 2 √ 5 Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... Simplify the radical: √ 4 • 5 = √20 √ √ Simplify the radical. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... 16 • 3 = √48 √ √ Simplify the radical. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... • 3 = √75 √ √ Simplify the radical. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... • 6 = √54 √ Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... √ Simplify the radical. 200 = √ 2 √ Simplify the radical. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... • 6 = √ 96 √ Simplify the radical. √ Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... 50 = √ 2 Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... √ Simplify the radical. 60 = √ Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ... Simplify the radical. √ • 11 = √99 √ |