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8 years, 4 months ago
8 years, 1 month ago
Hi Ank,
To verify if a number is perfect square or not, we have to calculate digital root of the number.
Digital root is sum of all the digits of a number, if it is greater than 9, we have to calculate the digital root of the resulting number and so on until we get a single digit number.
No number can be a perfect square, unless its digital root lies among 1, 4, 7 or 9.
Now the digital roots of all the numbers formed will be the same = 50*1+50*2+50*3+50*4 = 500
Therefore, digital root = 5+0+0 = 5.
Therefore, none of the numbers formed are perfect squares.
Hope this helps
Thanks