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Simplifying Surds

Simplifying Surds. Using Division. What is to be learned?. How to simplify surds using division. Already Known. √8 = √4 X √2 so √4 X √2 = √8 . Nice Rule . How About. √15. Another Nice Rule . = √5. √3. Sometimes This Works Very Nicely. √12. = √4. √3. = 2. √700.

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Simplifying Surds

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  1. Simplifying Surds Using Division

  2. What is to be learned? • How to simplify surds using division

  3. Already Known √8 = √4 X √2 so √4 X √2 = √8 Nice Rule 

  4. How About √15 Another Nice Rule  = √5 √3 Sometimes This Works Very Nicely √12 = √4 √3 = 2 √700 = √100 √7 = 10 Not usually as nice as this!

  5. NAB Type Question 25 both square numbers! 9 √ 5 √ 25 = = 3 9 √ 64 49 √ 8 √ 64 = = 7 49 √

  6. Simplifying Surds By Dividing √30 (30 ÷ 6) = √5 Surds divide nicely √6 This can give lovely answers 45 √45 = √9 = 5 √ √5 = 3

  7. NAB Type Question 81 both square numbers! 4 √ 9 √ 81 = = 2 4 √

  8. You Try 1. 2. 3. 8 50 48 2 5 4 2 √ 2 3 √ √ 4. 5. 6. 5 10 16 4 25 100 2 7 9 3 4 49 √ √ √ 7. 8. 12 81 9 144 11 16 4 √ 121 √ Those in pink give lovely answers Rest are NAB type questions

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