Answer:
[tex]10ab^2c\sqrt[]{2bc}[/tex]A
Explanation:
Given the expression;
[tex]\sqrt[]{200a^2b^5c^3}[/tex]We want to simplify;
[tex]\begin{gathered} \sqrt[]{2\times10\times10\times a\times a\times b^2\times b^2\times b\times c\times c\times c} \\ =10\times a\times b^2\times c\times\sqrt[]{2\times b\times c} \\ =10ab^2c\sqrt[]{2bc} \end{gathered}[/tex]Therefore, the given expression can be simplified to;
[tex]10ab^2c\sqrt[]{2bc}[/tex]