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

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Presentation transcript:

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

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

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

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

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

1 1 = = = = = = 36 49, 64, 81, 100, 121, 144,... What numbers are perfect squares?

Simplify

Multiply the radicals. 3. Simplify

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:

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

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!

Homework Page #12-20 even, even, even