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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

55696/1000000

=(16 x 3481)/(16 x 62500)

=3481/ 62500

=(59/250)²

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

so

√(59/250)²

=59/250

so given 0.055696

= 55696/1000000

so the

55696/1000000

=(16 x 3481)/(16 x 62500)

=3481/ 62500

=(59/250)²

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

so

√(59/250)²

=59/250

__answer__