Question

Trevor is tiling his bathroom floor, which has an area that is represented as 120r^3 square inches. Each tile has an area of sqrt(16r^9). Use the given information to write and simplify an expression for the total number of tiles used.

Answer 1

120r^3/sqrt(16r^9)
120r^3/4r^3
30
Trevor must have 30 tiles in order to tile his bathroom floor.

I was told that my second line was incorrect

Answer 2

yes it is wrong
\[\sqrt{16t^9}=\sqrt{4^2\times r^8\times r}=\sqrt{4^2}\sqrt{r^8}\sqrt{r}=4r^4\sqrt{r}\]

Answer 3

So how would I divide it?

Answer 4

\[\frac{120r^3}{4r^4\sqrt{r}}=\frac{30}{r\sqrt{r}}\]

Answer 5

if you are not allowed to have radicals in the denominator, i guess you could write
\[\frac{30\sqrt{r}}{r^2}\]