Answer:
c
Step-by-step explanation:
[tex]\sqrt{50x^{2}y^{7}z^{8}} = \sqrt{2*5^{2}x^{2} y^{2}y^{2}y^{2}*y*z^{2} z^{2} z^{2} z^{2} }=5xy^{3}z^{4}\sqrt{2y}[/tex]
Take all perfect squares out from under the radical sign
(50x^2y^7z^8)^(1/2)
(2(25)x^2yy^6z^8)^(1/2)
5xy^3z^4(2y)^(1/2) so C is the answer
