Given:
The expression is given as,
[tex]\sqrt[]{2}\cdot\sqrt[]{20}[/tex]
The objective is to choose the equivalent product of the expression,
Explanation:
The given expression can be written as,
[tex]\sqrt[]{2}\cdot\sqrt[]{20}=\sqrt[]{2\times20}=\sqrt[]{40}[/tex]
On further solving the above equation,
[tex]\begin{gathered} \sqrt[]{40}=\sqrt[]{2\times2\times2\times5} \\ =2\sqrt[]{2\times5} \\ =2\sqrt[]{10} \end{gathered}[/tex]
Hence, option (C) is the correct answer.
