Given:
[tex]\sqrt[]{252}[/tex]Let's reduce the radical number.
We have:
Factor 36 out of 252:
[tex]\begin{gathered} \sqrt[]{36(7)} \\ \\ =\sqrt[]{36}\text{ }\sqrt[]{7} \end{gathered}[/tex]Rewrite 36 as 6²:
[tex]\begin{gathered} \sqrt[]{6^2}\text{ }\sqrt[]{7} \\ \\ =6\sqrt[]{7} \end{gathered}[/tex]ANSWER:
[tex]\begin{gathered} =\sqrt[]{36\text{ }}\text{ }\sqrt[]{7} \\ \\ =6\text{ }\sqrt[]{7} \end{gathered}[/tex]