#### Answer

$5(x+8)\times\sqrt{6(x+8)}$

#### Work Step by Step

$\sqrt{150(x+8)^3}$
Factor out perfect squares.
$\sqrt{25\times 6\times(x+8)^2\times(x+8)}$
Use the Product Property of Square Roots.
$\sqrt25\times\sqrt6\times\sqrt{(x+8)^2}\times\sqrt{x+8}$
Simplify.
$5\times\sqrt6\times(x+8)\times\sqrt{x+8}$
Use the Product Property of Square Roots.
$5(x+8)\times\sqrt{6(x+8)}$