1. Warm Up
Simplify each expression.
1. 14x + 15y – 12y + x
2. 9xy + 2xy – 8xy
3. –3(a + b) +
15x + 3y
3xy
–3a – b + 10

2. Solve using square roots. Check your answer.
x2 = 169

3. Objective
Add and subtract radical expressions.

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

5. Like radicals can be combined by adding or subtracting
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.

6. Combining like radicals is similar to combining like terms.
Helpful Hint

7. Add or subtract. A. E. B. C. D.

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

9. Simplify each expression.

10. When you write a radicand as a product, make at least one factor a perfect square.
Remember!

11. Simplify each expression.

12. Find the perimeter of the triangle
Find the perimeter of the triangle. Give the answer as a radical expression in simplest form.
HW pp /15-30,32,34,36,38,39,41-47 Odd,
49-63 Odd,71-78