SOLUTION: -3sqrt5x^3 * sqrt10x^3 I'm not too sure how this would be solved so any help would be great! I'm not asking for you to complete the entire problem, but if you would like to do s

Question 851494: -3sqrt5x^3 * sqrt10x^3
I'm not too sure how this would be solved so any help would be great! I'm not asking for you to complete the entire problem, but if you would like to do so. That's would be nice. I need the full steps on solving this. One thing I think I'm supposed to do is factor out the perfect square factor, but I'm not too sure considering there's exponents.
Thanks in advance!
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!

Use the rule
sqrt(a)*sqrt(b) = sqrt(ab).
-3[ sqrt5x^3 * sqrt10x^3]
-3[sqrt50x^6]
Separate into two radicals and then simplify each radical before multiplying by- 3.
So, sqrt(50) = sqrt(25)*sqrt(2).
This becomes 5sqrt(2).
Now, sqrt(x^6) = x^3.
We now have:
-3[5sqrt(2)*x^3]
Answer: -15sqrt(2)x^3
You can also write the answer this way: -15x^3*sqrt(2).
Either one is correct.
Did you follow?
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