1. Warm Up
Identify the perfect square in each set. 81 25
256
196

2. Warm Up Continued
Write each number as a product of prime numbers.
5. 36
6. 64
7. 196
8. 24

3. Solve the quadratic equation by factoring.
x2 – 6x + 8 = 0
(x – 4)(x – 2) = 0
The solutions are 4 and 2.

4. Objective
Simplify radical expressions.

5. An expression that contains a radical sign is a radical expression
An expression that contains a radical sign is a radical expression. There are many different types of radical expressions, but in this course, you will only study radical expressions that contain square roots.
Examples of radical expressions:
The expression under a radical sign is the radicand. A radicand may contain numbers, variables, or both. It may contain one term or more than one term.

7. Simplify each expression.

8. Simplify each expression.B.

9. Simplify each expression.

10. Simplify each expression.D.

11. Simplify each expression.

13. Simplify. All variables represent nonnegative numbers.

14. Simplify. All variables represent nonnegative numbers.

15. Simplify. All variables represent nonnegative numbers.

16. Simplify. All variables represent nonnegative numbers.

17. Simplify. All variables represent nonnegative numbers.

19. Simplify. All variables represent nonnegative numbers.

20. Simplify. All variables represent nonnegative numbers.

21. Simplify. All variables represent nonnegative numbers.C.

22. Simplify. All variables represent nonnegative numbers.D.

23. Simplify. All variables represent nonnegative numbers.

24. Simplify. All variables represent nonnegative numbers.

25. Simplify. All variables represent nonnegative numbers.

26. Simplify. All variables represent nonnegative numbers.

27. A quadrangle on a college campus is a square with sides of 250 feet
A quadrangle on a college campus is a square with sides of 250 feet. If a student takes a shortcut by walking diagonally across the quadrangle, how far does he walk? Give the answer as a radical expression in simplest form. Then estimate the length to the nearest tenth of a foot.
250
Quadrangle
HW pp /24-78