Question

Q8) find the smallest 4- digit number which is a perfect square. ( Hint. consider 1000, the lowest 4- digit number. Find the least number that should be added to it, to make it a perfect square). ​

Answer 1

(31)²=961

(32)²=1024

(33)³=1089

(34)²=1156

Least of four digits = 1000.

(32)² is more than 1000 by 24.

So, the least number to be added to 1000 is 24.

1000 + 24 = 1024

Therefore, the smallest four digit number which is a perfect square is 1024.