Answer
$5n\sqrt [5] {10m^3}$
Work Step by Step
Rewrite each radicand as the product of two factors such that you can take the 5th root of one of the factors:
$\sqrt [5] {10 • m^3 • n^5} + 4n\sqrt [5] {10m^3}$
Take the 5th roots of terms to take them out from under the radical sign:
$n\sqrt [5] {10m^3} + 4n\sqrt [5] {10m^3}$
Combine like terms:
$5n\sqrt [5] {10m^3}$