Question 851494

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?