is the integer n783456231189002288438 a perfect square Justi

is the integer n=783,456,231,189,002,288,438 a perfect square? Justify your conclusion.

Solution

Consider the given number

n = 783,456,231,189,002,288,438

Since the last digit of n is 8

and we know that no perfect square number is there whose one\'s digit is 8.

the once digit in the square of a number from 1 to 10 is

for 1² is 1

for 2² is 4

for 3²   is 9

for 4² = 6

for 5² is  5

for 6² is 6

for 7² is 9

for 8² is 4

for 9² is 1

for 10² is 0

Therefore n = 783,456,231,189,002,288,438 is not a perfect square