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Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
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.
 one year ago

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

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

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

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

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

ghazi Group TitleBest ResponseYou've already chosen the best response.0
\[\sqrt{R^2}=R\]
 one year ago

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

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

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

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

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

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

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

quarks16 Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

quarks16 Group TitleBest ResponseYou've already chosen the best response.0
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.
 one year ago

quarks16 Group TitleBest 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?
 one year ago

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

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

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

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

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

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

quarks16 Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

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

quarks16 Group TitleBest 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
 one year ago

quarks16 Group TitleBest ResponseYou've already chosen the best response.0
Hope I helped....
 one year ago
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