## Spartan_Of_Ares Group Title so i need more help than i thought one year ago one year ago

1. Spartan_Of_Ares Group Title

Trevor is tiling his bathroom floor, which has an area that is represented as 175r5 square inches. Each tile has an area of$64r$ . The total number of tiles used can be represented by the expression below. $\frac{ 175r ^{5} }{ \sqrt{64r ^{17}} }$ Simplify the expression for the total number of tiles used. Show your work.

2. Spartan_Of_Ares Group Title

@ghazi can you help me?

3. ghazi Group Title

64= 8*8

4. ghazi Group Title

$\frac{ 175 r^5 }{ 8 r^8 \sqrt{r} }=\frac{ 175 }{ 8r^3 \sqrt r }$

5. ghazi Group Title

$\sqrt{R^{17}}=\sqrt{R^{16}*R}=\sqrt{(R^{2})^8*R}=R \sqrt R$

6. Spartan_Of_Ares Group Title

@ghazi Ummmmmm what do i do im lost

7. ghazi Group Title

8. ghazi Group Title

$\sqrt{R^2}=R$

9. Spartan_Of_Ares Group Title

can you give me a through explanation on how to solve this?

10. BrittanyFrench Group Title

I"m sorry, I have NO clue...

11. Spartan_Of_Ares Group Title

thats ok thanks anyways you get a medal for effort

12. ghazi Group Title

$\frac{ R^5 }{ R^8 }=\frac{ 1 }{ R^{8-5} }=\frac{ 1 }{ R^3 }$

13. BrittanyFrench Group Title

:) awh thanks..

14. ghazi Group Title

$\sqrt{R^{16}}=(R^{16})^{1/2}= R^8$

15. quarks16 Group Title

Wait, is that 175r^5?

16. quarks16 Group Title

If it is, then first you'd have to find out how many tiles that are used. (I'm sort of winging this as I go, so if I don't really make sense, then, um.... sorry.)|dw:1356665803264:dw|

17. quarks16 Group Title

To find out how many tiles can fit in the bathroom, divide the area of the bathroom by the area of the tile; so, 175r^5 / 64r.

18. quarks16 Group Title

....where did the $\frac{ 175r^{5} }{ \sqrt{64r ^{17}} }$ come from? Especially the 64r17...? Did I miss something somewhere?

19. quarks16 Group Title

Well anyways, if we go by the expression that you wrote, then first you would simplify the square root, which was what ghazi was trying to show you. Let's break down how to simplify the square root. First, split it into a part that you can find the square root of, and a part that you can't. So: $\sqrt{64r ^{16}}\times \sqrt{r}$

20. quarks16 Group Title

Now, you can simplify the first part into $8r ^{8}\times \sqrt{r}$ which can be written as $8r ^{8}\sqrt{r}$

21. quarks16 Group Title

Now the expression looks like $\frac{ 175r ^{5} }{8r ^{8}\sqrt{r}}$

22. quarks16 Group Title

Now you can focus on the r's. In the numerator (on the top) you have r^5. In the denominator (on the bottom), you have r^8. When that happens, you can sort of cancel out a bunch of the r's. Think of it this way. $\frac{ r \times r \times r \times r \times r \times r \times r \times r}{ r \times r \times r \times r \times r }$

23. quarks16 Group Title

Oh wait. That's wrong. Switch it around. There're 8 r's on the bottom, and 5 r's on the top.

24. quarks16 Group Title

|dw:1356667149325:dw|

25. quarks16 Group Title

Now, when you cancel them out, you'll get rid of all the r's on the top, and leave 3 r's on the bottom. Like this.|dw:1356667349240:dw|

26. quarks16 Group Title

So now when you go back to your whole equation, you get something that looks like this:$\frac{ 175 }{ 8r ^{3}\sqrt{r} }$

27. quarks16 Group Title

...which was what ghazi showed you. But I guess I just gave you the really long, drawn out explanation. :P

28. quarks16 Group Title

Hope I helped....