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How to find out Cube root very fast- Short cut Method


  1. First study following values,
       2=8 , 8=2 , 3=7 , 7=3

       Remaining digits are same , for example 1=1 , 4=4                etc...

 2. Will explain with examples,

      Example 1


       ³√5832 ?
     
        i) First will write 5832 in to 5,832 (ie, consider 3 digits                     from right end)
        ii) From the last 3 digits consider final digit. Here final                   digit is 2.If 2 is the value will write 8 instead of 2 as                     explained above.

      iii) This value is the final digit of result, ie in this example                8 is the final digit of result
      iv)  So we got final digit of the result, we have to find out                 thefirst digit of the result
      v)   In question, digit 5 only remaining, so find which                       numbercube is below 5, ie 13 =  1 is below 5   
     vi)   So first digit of result is 1 , So the result is 18
  
             
          ³√5832 = 18



  Example 2


       ³√19683 ?

       i) 19683 = 19,683
      ii) From the last 3 digits, last digit 3 will write in to 7 (as                      explained above). So 7 is the final digit of the result
   iii) In qustion digits 19 only remaining ,  2 =8 is below           19, so first digit of the result is 2.
   iv) So the result is 27

          ³√19683 = 27

     Example 3
 
        
       ³√46656 ?

      i) 46656 = 46,656
     ii) last digit 6 will convert to 6, so final digit of the               result is 6  
    iii)   Remaining digits in the question is 46,                                 3 = 27 is below 46, so the first digit of the result           is 3 , so the final answer is 36  
                
            ³√46656  = 36



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