Sec 1.2 –Revisiting Quadratics (Review) Simplifying Radicals Name: PRODUCT RULE: QUOTIENT RULE: √ ݔ∙ඥ ݕ= ඥ ݕݔ√௫ √ ௬ = ට ௫ ௬ Example: Example: √10 ∙√ ݔ= √10 ݔ√ଵ √ଶ = ට ଵ ଶ = √5 More directly, when determining a product or quotient of radicals and the indices (the small number in front of the radical) are the same then you can rewrite 2 radicals as 1 or 1 radical as 2. Simplify by rewriting the following using only one radical sign (i.e. rewriting 2 radicals as 1). 1. √7 ݔ∙ඥ2 ݕ2. √ଵଶ௫ మ య √ସ௫ య Simplify by rewriting the following using multiple radical sign (i.e. rewriting 1 radical as 2). 3. ට ଵସସ ଶହ 4. ට ௫ ల ଵଶଵ Express each radical in simplified form. 5. √48 6. ඥ450 ݔସ ݕହ 7. √48ଷ య M. Winking Unit 1-2 page 3
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PRODUCT RULE: QUOTIENT RULE · PRODUCT RULE: QUOTIENT RULE: Ì√ T ... § 5 4 6 = √5 More directly, when determining a product or quotient of radicals and the indices (the small
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More directly, when determining a product or quotient of radicals and the indices (the small number in front of the radical) are the same then you can rewrite 2 radicals as 1 or 1 radical as 2.
Simplify by rewriting the following using only one radical sign (i.e. rewriting 2 radicals as 1).
1. √7푥 ∙ 2푦 2. √√
Simplify by rewriting the following using multiple radical sign (i.e. rewriting 1 radical as 2).
3. 4.
Express each radical in simplified form.
5. √48 6. 450푥 푦 7. √48푎 푏
M. Winking Unit 1-2 page 3
Express each radical in simplified form.
8. √80푎 푏 9. − 675푚 푛 푝 10.√−27푥
11.√6푥 ∙ √12푥 12.√12푎 푏 ∙ √6푎푏
Simplify. Assume that all variable represent positive real numbers.