the equivalent expression is:
60*x^8
Which is option B.
Here we start with:
4*x^2*√(5x^4)*3*√(5x^8)
Remember that square roots are distributive, then we can just write:
(4*3)*(x^2)*(√(5x^4)*√(5x^8))
12*x^2*√(25x^12)
Now, the square root can now be solved
12*x^2*√(25x^12) = 12*x^2*5*x^6
= (12*6)*(x^2*x^6)
Remember that in the right side, the exponents just add, then we get:
(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8
Then the equivalent expression is:
60*x^8
Which is option B.
If you want to learn more about equivalent expressions:
https://brainly.com/question/2972832
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