## swiftskier96 Group Title Help!?!?!?!?!? 19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x) one year ago one year ago

1. swiftskier96 Group Title

19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x)

2. swiftskier96 Group Title

$\frac{ \sqrt{250^{16}} }{ \sqrt{2x} }$

3. cherio12 Group Title

|dw:1355412399796:dw|

4. swiftskier96 Group Title

Is that it?

5. cherio12 Group Title

6. swiftskier96 Group Title

Well the question did say divide and simplity if possible. So im not exactly sure how to do that.

7. cherio12 Group Title

to get rid of a radical in the denominator you can multiply the whole thing by something equal to 1. for instance $\frac{ \sqrt{2x} }{ \sqrt{2x} }=1$

8. swiftskier96 Group Title

So it would be? $\frac{ \sqrt{250^{16}} }{ 1 }$

9. swiftskier96 Group Title

Wait.

10. swiftskier96 Group Title

$\sqrt{250^{16}}$

11. cherio12 Group Title

$\frac{ \sqrt{250^(16)} }{ \sqrt{2x}}*\frac{ \sqrt{2x} }{ \sqrt{2x} }$

12. cherio12 Group Title

$\frac{ \sqrt{250^(16)*2x} }{2x }$

13. swiftskier96 Group Title

What do i do after that?

14. cherio12 Group Title

$\sqrt{250^{16}*2x}=(250^{16}*2x)^{\frac{ 1 }{ 2 }}$

15. swiftskier96 Group Title

So is that the final answer?

16. cherio12 Group Title

what do you know about exponents

17. swiftskier96 Group Title

18. cherio12 Group Title

if you have something like $(x^4)^3$ what does that equal?

19. swiftskier96 Group Title

Dont you add those together? Or am i mistaken?

20. cherio12 Group Title

you actually multiply them, you would add if it were x^4+x^3=x^7 but (x^4)^3=x^12

21. swiftskier96 Group Title

Right. Sorry, i get those mixed up. Lol. What now?

22. cherio12 Group Title

okay so you have (250^(16)*2x)^(1/2) this is the exponent thing we just went over

23. swiftskier96 Group Title

So you're saying that you multiply 16 and 1/2?

24. cherio12 Group Title

yup

25. swiftskier96 Group Title

That = 8.

26. cherio12 Group Title

yes, so you get $\frac{ \sqrt{250^8*2x} }{ }$ I believe that is as simp

27. cherio12 Group Title

as simple as you can get it*..its over sqrt(2x)

28. cherio12 Group Title

$\frac{ \sqrt{250^8*2x} }{ \sqrt{2x}}$

29. swiftskier96 Group Title

Ok cool! Thanks so much!!! :)

30. swiftskier96 Group Title

Oh my gosh... I am so stupid... Theres an x in 250. It looks like sqrt(250x^16)... Im so stupid...

31. swiftskier96 Group Title