Answer:
3x√6x−x^4√30x+24x^2√2−8x^5√10 (the third option)
Explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Simplify terms.
(x√6+8x√2x)(3√x−x^3√5x)
Expand (x√6+8x√2x)(3√x−x^3√5x) using the FOIL Method.
=x√6(3√x)+x√6(−x^3√5x)+8x√2x(3√x)+8x√2x(−x^3√5x)
Simplify each term.
=3x√6x−x^4√30x+24x^2√2−8x^5√10