Using the prime factorization method, find whether $9075$ is a perfect square or not.

Using the prime factorization method, find whether $4225$ is a perfect square or not.

Using the prime factorization method, find whether $1089$ is a perfect square or not.

Show that $1225$ is a perfect square. Find the number whose square it is.

Show that $2601$ is a perfect square. Find the number whose square it is.

Show that $5929$ is a perfect square. Find the number whose square it is.

Show that $7056$ is a perfect square. Find the number whose square it is.

Show that $8281$ is a perfect square. Find the number whose square it is.

By what least number should $3675$ be multiplied to get a perfect square number? Also, find the number whose square is the new number.