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.

Simplifying Radicals

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:

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!