Show that $500$ is not a perfect square.

Using prime factorisation, find if the number $484$ is a perfect square.

Using prime factorisation, find if the number $11250$ is a perfect square.

Using prime factorisation, find if the number $841$ is a perfect square.

Using prime factorisation, find if the number $729$ is a perfect square.

Using prime factorisation, find if the number $128$ is a perfect cube or not. 

Using prime factorisation, find if the number $343$ is a perfect cube or not. 

Using prime factorisation, find if the number $729$ is a perfect cube or not.