Answer:
2x ^5 sqrt( 6x)
Explanation:
sqrt( 3 x^4) * sqrt( 8 x^7)
Multiply them together
sqrt( 3x^4 * 8x^7)
sqrt( 24 x^ (4+7))
sqrt( 24 x^11)
We can simplify
sqrt(24) sqrt(x^11)
sqrt( 4*6) sqrt( x^10) sqrt(x)
sqrt(4) sqrt(6) x^5sqrt(x)
2 sqrt(6) x^5sqrt( x)
Combining the square roots
2x ^5 sqrt( 6x)