Simplifying Surds by jxnU8vb

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									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   Nice Rule 
      = √8
           How About
                √15    = √5 Another
                √3          Nice Rule 

Sometimes This Works Very Nicely
                 √12   = √4
                 √3
                       =2

                  √700 = √100
                  √7
                          = 10
  Not usually as nice as this!
NAB Type Question
       25    both square numbers!
     √ 9
      √ 25     5
 =           = 3
      √9

       64
     √ 49
      √ 64   8
 =         = 7
      √ 49
     Simplifying Surds By Dividing
                    √30   = √5 (30 ÷ 6)
Surds divide nicely
                    √6

This can give lovely answers
            45
               = √45       = √9
          √ 5    √5
                           =3
NAB Type Question
       81    both square numbers!
     √ 4
      √ 81     9
 =           = 2
      √4
                    You Try
1.     8       2.             3.
           2      50     5        48    4
     √ 2        √ 2             √ 3

4. 16      4 5. 25       5    6.        10
                                  100
 √ 9       3   √ 4       2      √ 49    7


7.  81 9 8. 144               12
 √ 16 4         √ 121         11
Those in pink give lovely answers
Rest are NAB type questions

								
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