Essential Question: How do we simplify radicals?

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Simplify Radical Expressions

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Presentation transcript:

Essential Question: How do we simplify radicals?

Simplifying Radicals

Perfect Squares 64 225 1 81 256 4 100 289 9 121 16 324 144 25 400 169 36 196 49 625

Simplify = 2 = 4 = 5 This is a piece of cake! = 10 = 12

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

Essential Question: How do we add & subtract radicals?

+ To combine radicals: combine the coefficients of like radicals Combining Radicals + To combine radicals: combine the coefficients of like radicals

Simplify each expression

Simplify each expression: Simplify each radical first and then combine.

Simplify each expression: Simplify each radical first and then combine.

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

Simplify each expression

Simplify each expression

Essential Question: How do we multiply radicals?

Multiplying Radicals * To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

Multiply and then simplify