Answer
$12a^2b\sqrt {10}$
Work Step by Step
First, we have to make sure that the indices are the same, which they are, in this exercise.
We now multiply the radicands and the coefficients:
$4 • 3\sqrt {5a^3b • 2ab}$
Multiply the coefficients:
$12\sqrt {5a^3b • 2ab}$
Multiply the radicands:
$12\sqrt {10a^4b^2}$
Take the square roots of the factors in the radicand:
$12 • a^2 • b\sqrt {10}$
Multiply coefficients together:
$12a^2b\sqrt {10}$
