Show that 63504 is perfect square. Also, find the number whose square is 63504.

Explanation

By using prime factorization method we can show that `63504` is a perfect square.
`sqrt 63504=252`
On doing the prime factorization of `63504` we get,
`63504=2xx2xx2xx2xx3xx3xx3xx3xx7xx7`
`sqrt(63504)=sqrt(2xx2xx2xx2xx3xx3xx3xx3xx7xx7)`
`sqrt(63504)=2xx2xx3xx3xx7`
`sqrt(63504)=252`
Hence, `63504` is the square of `252`.