Answer:
The correct option is option A
Explanation:
We have the following expression:
sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)
We know that sqrt(a*b) = sqrt(a)sqrt(b)
Applying this, we have:
sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)
sqrt(x^3)[ sqrt(18) - sqrt(2)]
sqrt(x^3)[ 3sqrt(2)- sqrt(2)]
sqrt(x^3)[2sqrt(2)]
Then we now that:
sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)
The correct option is option A