Question

TU has endpoints at T(5, -1) and U(1,-5). How long is TU?*

Answer 1

Answer:

$\sqrt{32}$

Step-by-step explanation:

We can first input our numbers into the distance formula to get:

$\sqrt{(5-1)^2+(-1+5)^2}$

Next we can solve within each parenthesis:

$\sqrt{(4)^2+(4)^2}$

Next we  can solve the squares. The square of 4 is 16 so we can input that into the equation

$\sqrt{16+16}$

Now we can add the 2 numbers together:

$\sqrt{32}$

And that is our final number as $\sqrt{32}$ is not a perfect square.