Simplify each expression x + 15y – 12y + x 2. 9xy + 2xy – 8xy 3. –3(a + b) + 15x + 3y 3xy –3a – b + 10 Bell Work

Simplify. All variables represent nonnegative numbers

Part 1

Add and subtract radical expressions. Objective Vocabulary like radicals

Square-root expressions with the same radicand are examples of like radicals.

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.

Combining like radicals is similar to combining like terms (variables). Helpful Hint

Adding and Subtracting Square-Root Expressions Add or subtract. A. The terms are like radicals. B. The terms are unlike radicals. Do not combine.

Adding and Subtracting Square-Root Expressions Add or subtract. C. D. Identify like radicals. Combine like radicals. the terms are like radicals.

Try This! Add or subtract. The terms are like radicals. a. b. The terms are like radicals.

Try This! Add or subtract. c. The terms are like radicals. d. The terms are like radicals. Combine like radicals.

Sometimes radicals do not appear to be like until they are simplified, Simplify all radicals in an expression before trying to identify like radicals.

Simplify Before Adding or Subtracting Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. Combine like radicals.

Simplify Before Adding or Subtracting Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. The terms are unlike radicals. Do not combine.

Ticket Out Quiz: Part I Add or subtract Simplify each expression

 Worksheet on Adding and Subtracting Radicals