Question

Which list shows these diagonal lengths in order from greatest to least

Answer 1

The values we have for the diagonal length are:

`\begin{gathered} 4\sqrt[\square]{13} \\ 14(2)/(5) \\ 14.33 \end{gathered}`

To compare them and see which of them is greatest, we need to convert all of them to decimal numbers.

For the first number:

`4\sqrt[=]{13}=4\cdot3.6055=14.422`

for the second number:

`14(2)/(5)=14.4`

And the third number is already in decimal form:

`14.33`

We arrange them from greatest to least in decimal form:

`14.422,\text{ 14.4, 14.33}`

And then we go back and substitute the original numbers:

`4\sqrt[]{13},14(2)/(5),14.33`

Answer:

`4\sqrt[]{13},14(2)/(5),14.33`