|dw:1340409134513:dw| K so we get all the factors of 50 and they are 5*5*2. We can only cancel out the 5's and bring them out cause there are 2 of them. Then for thex x^6 we can take them out (dividing by 2) and make them x^3.
Answer- 5x^3sqrt"2"
\[\sqrt{5*5*2*x^6}\] now we are going to work with the numbers. With the numbers in the square root, you can only cancel a number and bring it to the left if it shows at least twice. Since 5 is shown twice, we can cancel that out, divide by two, and bring it to the left. \[5\sqrt{2x^6}\]