1. Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions. SOL: A.3 Designed by Skip Tyler, Varina High School

2. In the expression, is the radical sign and 64 is the radicand. If x 2 = y then x is a square root of y. 1. Find the square root: 8 2. Find the square root: -0.2

3. 11, -11 4. Find the square root: 21 5.Find the square root: 3. Find the square root:

4. 6.82, -6.82 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth.

5. 1 1 = 1 2 2 = 4 3 3 = 9 4 4 = 16 5 5 = 25 6 6 = 36 49, 64, 81, 100, 121, 144,... What numbers are perfect squares?

6. 1. Simplify Find a perfect square that goes into 147. * Work I expect shown Use Calculator Check7 x 7

7. 2. Simplify Find a perfect square that goes into 605. 121 = 11 x 11

8. Simplify 1.. 2.. 3.. 4..

9. Look at these examples and try to find the pattern… How do you simplify variables in the radical? What is the answer to ? As a general rule, divide the exponent by two. The remainder stays in the radical.

10. Find a perfect square that goes into 49. 4. Simplify 5. Simplify

11. Simplify 1.3x 6 2.3x 18 3.9x 6 4.9x 18

15. Multiply the radicals. 6. Simplify = = Check2x2

16. 7. Simplify Multiply the coefficients and radicals. ** Check 7 x 7 = =

17. Simplify 1.. 2.. 3.. 4..

18. How do you know when a radical problem is done? 1.No radicals can be simplified. Example: 2.There are no fractions in the radical. Example: 3.There are no radicals in the denominator. Example:

20. 8. Simplify. Divide the radicals. Uh oh… There is a radical in the denominator! Whew! It simplified!

21. In the expression, is the radical sign and 64 is the radicand. If x 2 = y then x is a square root of y. If x 3 = y then x is a cube root of y.