Answer
$2ab\sqrt[3] {9a}$
Work Step by Step
To multiply two radicals, we must first make sure that the indices are the same. They are the same in this exercise.
Now, we multiply the radicands:
$\sqrt[3] {4a^4b • 18b^2}$
Perform the multiplication:
$\sqrt[3] {72a^4b^3}$
Rewrite the radicand as factors of which we can take their cube roots:
$\sqrt[3] {8 • 9 • a^3 • a • b^3}$
Take the cube roots to remove factors from inside the radical sign:
$2 • a • b\sqrt[3] {9a}$
Multiply coefficients:
$2ab\sqrt[3] {9a}$
