Answer
$4c^5d^4\sqrt {55c}$
Work Step by Step
Rewrite the radicand as the product of factors such that you can take the square root of certain factors:
$2c^2d\sqrt {2^2 • 55 • c^6 • c • d^6}$
Take the square roots of terms to take them out from under the radical sign:
$2c^2d • 2c^3d^3\sqrt {55c}$
Simplify the radical by multiplying the coefficients:
$4c^5d^4\sqrt {55c}$