Quiz Review.

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Presentation transcript:

Quiz Review

GSE Algebra I Today’s Question: How do we simplify square roots?

Square Roots and Simplifying Radicals

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.

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.

Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out

Multiplying Radicals

Multiplying Radicals Multiply numbers outside the radical with other numbers outside the radical. Multiply radicands with other radicands. Simplify, if possible

Example 1 Multiply then simplify if possible.

Example 2 Distribute then simplify if possible.

Your Turn

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

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Worksheet