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Spartan_Of_Ares
 one year ago
Best ResponseYou've already chosen the best response.0Trevor 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.

Spartan_Of_Ares
 one year ago
Best ResponseYou've already chosen the best response.0@ghazi can you help me?

ghazi
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 175 r^5 }{ 8 r^8 \sqrt{r} }=\frac{ 175 }{ 8r^3 \sqrt r }\]

ghazi
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{R^{17}}=\sqrt{R^{16}*R}=\sqrt{(R^{2})^8*R}=R \sqrt R\]

Spartan_Of_Ares
 one year ago
Best ResponseYou've already chosen the best response.0@ghazi Ummmmmm what do i do im lost

ghazi
 one year ago
Best ResponseYou've already chosen the best response.0my previous post is answer

Spartan_Of_Ares
 one year ago
Best ResponseYou've already chosen the best response.0can you give me a through explanation on how to solve this?

BrittanyFrench
 one year ago
Best ResponseYou've already chosen the best response.1I"m sorry, I have NO clue...

Spartan_Of_Ares
 one year ago
Best ResponseYou've already chosen the best response.0thats ok thanks anyways you get a medal for effort

ghazi
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ R^5 }{ R^8 }=\frac{ 1 }{ R^{85} }=\frac{ 1 }{ R^3 }\]

BrittanyFrench
 one year ago
Best ResponseYou've already chosen the best response.1:) awh thanks..

ghazi
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{R^{16}}=(R^{16})^{1/2}= R^8\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Wait, is that 175r^5?

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0If 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

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0To 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.

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0....where did the \[\frac{ 175r^{5} }{ \sqrt{64r ^{17}} }\] come from? Especially the 64r17...? Did I miss something somewhere?

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Well 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: \[\sqrt{64r ^{16}}\times \sqrt{r}\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Now, you can simplify the first part into \[8r ^{8}\times \sqrt{r}\] which can be written as \[8r ^{8}\sqrt{r}\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Now the expression looks like \[\frac{ 175r ^{5} }{8r ^{8}\sqrt{r}}\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Now 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. \[\frac{ r \times r \times r \times r \times r \times r \times r \times r}{ r \times r \times r \times r \times r }\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Oh wait. That's wrong. Switch it around. There're 8 r's on the bottom, and 5 r's on the top.

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0dw:1356667149325:dw

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0Now, 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

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0So now when you go back to your whole equation, you get something that looks like this:\[\frac{ 175 }{ 8r ^{3}\sqrt{r} }\]

quarks16
 one year ago
Best ResponseYou've already chosen the best response.0...which was what ghazi showed you. But I guess I just gave you the really long, drawn out explanation. :P
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