Is there an easy way to simplify radicals?
For example, take the case of $\sqrt{252}$. We can the find prime factorization of $252$ as $252=2\times 2\times 3 \times 3\times 7$ and thus we get $\sqrt{252}=\sqrt{2\times 2\times 3 \times 3\times 7}=6\sqrt{7}.$
This method takes more time for large numbers. Without doing these calculations, i.e., without finding out prime factorization, is there any approach available to simplify radicals?
Please help. thanks.