Unit 8 Radicals.

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Presentation transcript:

Unit 8 Radicals

Square Roots and Simplifying Radicals

Radical Sign (square root sign) Radicand Numbers or variables under the radical sign

Prime Numbers 2 3 5 7 11 13…

Radicals are in SIMPLEST FORM when.. 1. No perfect square factors other than 1 are under the radical. No fractions are under the radical. No radicals are in the denominator.

List some prime numbers. You'll need to know how to prime factor to simplify square roots. If a radicand isn’t a perfect square, you’ll prime factor. List some prime numbers.

Factor Trees to Prime Factorization 45

Factor Trees to Prime Factorization 54

Factor Trees to Prime Factorization 98

When you have a pair, bring the number out. EX:1 Simplify. When you have a pair, bring the number out.

When you have a pair, bring the number out. EX:2 Simplify When you have a pair, bring the number out.

EX:3

EX:4 Simplify.

You try! 1. 2. 3. 4.

Worksheet Simplifying Radicals

Add and Subtract Radicals You can only add or subtract radicals that have the EXACT SAME radicand. Then add/subtract ONLY the number OUTSIDE the radical Then, check to see if you can simplify!!

Example 1

Example 2 Sometimes you have to simplify 1st then see if you can add.

Simplify

Simplify

Simplify

Simplify

Simplify

Adding and Subtracting Radicals WS Homework Adding and Subtracting Radicals WS