Answer
$7xyz^2\sqrt {z} + 7xz^2\sqrt {yz}$
Work Step by Step
Rewrite each radicand as the product of a perfect square and another factor:
$3xy\sqrt {9 • z^4 • z} + 7xz^2\sqrt {yz} - 2xyz^2\sqrt {z}$
Take the square root of the perfect squares:
$3xy • 3 • z^2\sqrt {z} + 7xz^2\sqrt {yz} - 2xyz^2\sqrt {z}$
Simplify the radicals by multiplying the coefficients of each radical:
$9xyz^2\sqrt {z} + 7xz^2\sqrt {yz} - 2xyz^2\sqrt {z}$
Combine like terms:
$7xyz^2\sqrt {z} + 7xz^2\sqrt {yz}$
