Answer :
[tex]\begin{gathered} \sqrt[]{2}\cdot\sqrt[]{5}\cdot\sqrt[]{10} \\ \sqrt[]{2}\cdot\sqrt[]{5}\cdot\sqrt[]{2\cdot5} \\ \sqrt[]{2^2}\cdot\sqrt[]{5^2} \\ 2\cdot5=10 \end{gathered}[/tex]
The first is to decouple the 10 into 2 * 5 and extract the values within the root. The other is to enter all the values to the same root and calculate in general
[tex]\begin{gathered} \sqrt[]{2}\cdot\sqrt[]{5}\cdot\sqrt[]{10}=\sqrt[]{2\cdot5\cdot10} \\ \sqrt[]{100}=10 \end{gathered}[/tex]