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Radicals

Radicals. Simplify √ 25, √ 49, √ 16. 5. 7. 4. Simplify √ 20, √ 50. Rewrite as the product of a square number and some other number Examples: √ 20 = √ 4 ∙√5 √ 50 = √ 25 ∙√ 2. Multiply “like terms”. 4 32. 4 • 16 2. 4 • 4 2. 16 2. Division with radicals: Ex. √5/4.

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Radicals

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  1. Radicals

  2. Simplify √25, √49, √16 5 7 4

  3. Simplify √20, √50 Rewrite as the product of a square number and some other number Examples: √20 = √4∙√5√50 = √25∙√2

  4. Multiply “like terms” 4 32 4• 16 2 4 • 4 2 16 2

  5. Division with radicals: Ex. √5/4 Think of it as √5 √4 √32 2√8

  6. Multiplying radicals: √8∙√5 √40 √2∙√10 = √20 3√5∙√3=3√15 2√6∙3√8 = 6√48

  7. Rationalizing the denominator √6 √5 √10 √3 2 √40

  8. Adding and Subtracting Radicals Radicals that are the same are considered “like terms” 45 + 125 = 16 5 35 +20 = 35 + 45 = 35 + 25 = 55

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