By what least number should $8820$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $4056$ be divided to get a perfect square number? Also, find the number whose square is the new number.

Find the largest number of $2$ digits which is a perfect square.

Find the largest number of$3$digits which is a perfect square.

Give reason to show that $5372$ is not a perfect square.

Give reason to show that $5963$ is not a perfect square.

Give reason to show that $8457$ is not a perfect square.

Give reason to show that $9468$ is not a perfect square.

Give reason to show that $360$ is not a perfect square.