Respuesta :
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\sqrt{128x^8y^3z^9}[/tex]
It can be written as
[tex]\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}[/tex]
[tex]=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}[/tex]
[tex]=\sqrt{(8x^4yz^4)^2\cdot 2yz}[/tex]
[tex]=8x^4yz^4\sqrt{2yz}[/tex]
Therefore, the correct option is C.
