Find the least number to be added to 4108 so that the arrangement is a solid square.
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Given : number 4108
To Find : the least number to be added to 4108 so that the arrangement is a perfect square.
Solution:
64
6 4108
36
______
124 508
496
____
12
√4108 > 64
least number to be added to 4108 is x
=> √(4108 + x) = 65
=> 4108 + x = 65²
=> 4108 + x = 4225
=> x = 117
least number 117 to be added to 4108 to get perfect square
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