## steffanie_0831 3 years ago Divide and simplify if possible.

1. steffanie_0831

|dw:1356771183508:dw|

2. LogicalApple

Combine the square roots so the entire thing is under one big radical. Then simplify what is inside of it.

3. steffanie_0831

|dw:1356771844627:dw| like that?

4. LogicalApple

Close, but you need to keep it as a division problem. Take the square root of the entire fraction.

5. steffanie_0831

oh gotcha

6. steffanie_0831

|dw:1356772484638:dw| that right @LogicalApple

7. LogicalApple

Yes, good so far! Now see if you can cancel any terms.

8. steffanie_0831

|dw:1356772604623:dw| that good?

9. LogicalApple

Yes. And 250/2 = ?

10. steffanie_0831

yes so my final answer is...|dw:1356772711906:dw|

11. steffanie_0831

i ment 125 not 150

12. LogicalApple

We can simplify it one step further. 125 = 25 * 5 Thus the square root of (125 x^15) is the same as sqrt(25 * 5 * x^15) = 5 * sqrt(5 x^15). See why?

13. steffanie_0831

yeah cause 5^3 is 125 so would it be..

14. steffanie_0831

|dw:1356772944347:dw|

15. steffanie_0831

??

16. LogicalApple

|dw:1356773014133:dw|

17. steffanie_0831

why 5 on the outside?

18. LogicalApple

|dw:1356773029033:dw|

19. steffanie_0831

gotcha

20. hartnn

in the same manner $$\large 5\sqrt{5x^{14}.x}=5\sqrt{x^{14}}\sqrt{5x}=5x^7\sqrt{5x}$$

21. LogicalApple

Yes what Goku said !

22. steffanie_0831

wait so is it...|dw:1356773379140:dw|

23. hartnn

they both are same, the 1st one is more simplified.

24. LogicalApple

What hartnn provided is the simplest (most simplified) version

25. steffanie_0831

oh gotcha now i see it thanks