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Adding and Subtracting 11-7 Radical Expressions Warm Up Simplify each expression. 1. 14x + 15y – 12y + x 15x + 3y 2. 9xy + 2xy – 8xy 3xy 3. –3(a + b) + Holt Algebra 1 –3a – b + 10 Adding and Subtracting 11-7 Radical Expressions Solve using square roots. Check your answer. x2 = 169 x 169 2 x 13 Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Objective Add and subtract radical expressions. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Square-root expressions with the same radicand are examples of like radicals. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Like radicals can be combined by adding or subtracting. You can use the Distributive Property to show how this is done: Notice that you can combine like radicals by adding or subtracting the numbers multiplied by the radical and keeping the radical the same. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Helpful Hint Combining like radicals is similar to combining like terms. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Add or subtract. E. A. 5 3 B. 2 s 8 5s s C. 6 m D. Holt Algebra 1 11 xy 2 y 2 8 5 Adding and Subtracting 11-7 Radical Expressions Sometimes radicals do not appear to be like until they are simplified, Simplify all radicals in an expression before trying to identify like radicals. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Simplify each expression. 95 45 3 5 2 5 5 9 25 3 2 25 2 45 3 10 2 25 3 y 2 9 3 y 16 3 y 5 3y 6 3y 4 3y 3 3y Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Remember! When you write a radicand as a product, make at least one factor a perfect square. Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Simplify each expression. 96 46 3 6 2 6 5 6 4 9 3 9 2 12 3 3 2 4 3y 9 3y 2 3y 3 3y 5 3y Holt Algebra 1 Adding and Subtracting 11-7 Radical Expressions Find the perimeter of the triangle. Give the answer as a radical expression in simplest form. P 3 20 13 5 10 3 4 5 13 5 10 6 5 13 5 10 19 5 10 mm HW pp. 813-815/15-30,32,34,36,38,39,41-47 Odd, 49-63 Odd,71-78 Holt Algebra 1