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

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

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

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

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

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

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

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

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

quarks16
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years 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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