What is the distance between (5,-2,4) and (8,8,-1)?

What is the distance between (5,-2,4) and (8,8,-1)?
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belidla5a
The formula for the distance for 3-dimensional coordinates is similar or 2-
dimensional; it is: $d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}$
We have the two coordinates, so we can plug in the values for x, y, and z:
$d=\sqrt{{\left(-1-4\right)}^{2}+{\left(8-\left(-2\right)\right)}^{2}+{\left(8-5\right)}^{2}}$
Now we simplify:
$d=\sqrt{{\left(-5\right)}^{2}+{\left(10\right)}^{2}+{\left(3\right)}^{2}}$
$d=\sqrt{134}$
If you want to leave it in exact form, you can leave the distance as $\sqrt{134}$. However, if you want the decimal answer, here it is rounded to the nearest hundblackth's place:
$d\approx 11.58$