Answer
$5xy$
Work Step by Step
Use $25=5^2$ and $8=2^3$.
$8xy-\sqrt{25x^2y^2}+\sqrt[3]{8x^3y^3}\\
=8xy-\sqrt{5^2x^2y^2}+\sqrt[3]{2^3x^3y^3}\\
=8xy-\sqrt{(5xy)^2}+\sqrt[3]{(2xy)^3}$
Simplify each radical.
$=8xy-5xy+2xy$
Factor out $ xy$ then simplify.
$=xy(8-5+2)$
$=xy(5)$
$=5xy$
Hence, the correct answer is $5xy$.
