1. Bell Ringer Use the Pythagorean Theorem to find the length of the hypotenuse.

2. 10.1 Simplifying Square Roots Objectives: The student will be able to: 1. simplify square roots

3. In the expression, is the radical sign and 64 is the radicand. 1. Find the square root: 8 2. Find the square root: -0.2

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

5. 6.82, -6.82 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth.

6. 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?

9. Simplify 1.. 2.. 3.. 4..

10. Multiply the radicals. 3. Simplify

11. 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:

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

13. Simplify Since the fraction doesn’t reduce, split the radical up. Uh oh… There is a fraction in the radical! How do I get rid of the radical in the denominator? Multiply by the “fancy one” to make the denominator a perfect square!

14. Homework Page 539-540 #12-20 even, 26-30 even, 36-42 even