Question

The numbers 257 and 5050 are not perfect squares... Give reasons

Answer 1

Hari Om..!

there are few trends which can be used to determine whether the number given is a perfect square or not

some of them are :-

(I) the number ending with 2,3,7,8 can never be a perfect square.

(ii) the number ending with odd number of zeroes can never be a perfect square.


Now, 257 ends with 7.It follows that it is not a perfect square.

and,5050 ends with only one zero.So, it is not a perfect square.

Thanks

KSHITIJ

Answer 2

257 is a prime number
and lcm of 5050 is
2×5×5×101
so The numbers 257 and 5050 are not perfect squares.