Question:
Find the least number of four digits which is a perfect square. Also find the square root of the number so obtained.
Solution:
Smallest number of four digits =1000
Using the long division method:.png)
1000 is not a perfect square.
By the long division method, the obtained square root is between 31 and 32.
Squaring the next integer (32) will give us the next perfect square.
$32^{2}=1024$
Thus, 1024 is the smallest four digit perfect square.
Also, $\sqrt{1024}=32$