Q11 of 50 Page 6

Find the square root of the following by means of factors:
(a) 16 (b) 196 (c) 529 (d) 400 (e) 1764 (f) 4096
(g) 7744 (h) 11664 (i) 4900 (j) 47089 (k) 298116

a)
   

16 = 2 x 2 x 2 x 2 = (22 x 22) = (2 2)2
... The square root of 16 = 2 x 2= 4
    
b)

   

196 = 2 x 2 x 7 x 7 = (22 x 72) = (2 x 7)2
... The square root of 196 = 2 x 7= 14
    
c)

   

529 = 23 x 23 = 232
... The square root of 529 = 23 
     
d)

  
 

400 = 2x2x2x2x5x5 = (22 x 22 x 52) = (2 x 2 x 5)2
... The square root of 400 = 2x2x5= 20

e) 1764 = 2x2x3x3x7x7
    
  

1764 =  2x2x3x3x7x7 = (22 x 32 x 72) = (2 x 3 x 7)2
... The square root of 1764 = 2x3x7= 42

f)
  

... The square root of 4096=2x2x2x2x2x2= 64

g)
  


h)
   


(i)
   
   



j)

 


k)

   



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