Square root 10m^3n^9 / square root 5mn^5 x square root 9m^4n^4 / square root 3m^3n^2
A)6mn^2 square root mn
B)6m^3n^6
C)6(mn)^9
D)mn^3 square root 6m
The correct answer is B) 6m^3n^6.
To simplify the expression, we can combine the terms under the square roots by dividing the terms with the same base.
10m^3n^9 / 5mn^5 = 2m^2n^4
9m^4n^4 / 3m^3n^2 = 3m n^2
Combining these, we get:
2m^2n^4 x 3m n^2 = 6m^3n^6
Therefore, the simplified expression is 6m^3n^6.