Find the square root of the following correct upto two decimal places. $4\frac { 5 }{ 7 } $

Using the mixed fraction to improper fraction conversion, we rewrite four and five sevenths as thirty-three sevenths, which equals 4.714285. The long division method for square roots shows that 2.17 multiplied by 2.17 equals 4.7089, which is very close to 4.714285. When we check the next digit by finding 2.18 squared, we get 4.7524, making 2.17 the closest value to two decimal places. The value of the square root is 2.17.

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