State which reasons , the following number cannot be perfect squares question 5555
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Given : A number 5555
To Find : Why this can not be perfect Square
Solution:
5555 can not be perfect Square
as 5555 = 5 * 1111
1111 Does not have any factor of 5 ( any number to have 5 as factor must end with 5 or 0 )
so there is only one 5 as Factor
a number to be a perfect Square prime Factors must be in even number
But here 5 is only 1 (in odd numbers )
Hence 5555 can not be perfect Square
Any number ending with 5 must end with 25 to be perfect square
Hence 5555 can not be perfect Square
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