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So we have to find highest factor the fraction after which we can get a perfect square number
so given    0.055696
  = 55696/1000000
so the 
=(16 x 3481)/(16 x 62500)
=3481/ 62500
so in question it is told that we require the number that is hen multiplied by itself
so to get the answer we have square root the achieved answer
=59/250 answer

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