The distance of the point (-3, 4, 5) from the origin

The correct option is 5√2.

To find the distance of a point in three-dimensional space from the origin, we use the 3D distance formula.
The origin is the point with coordinates $(0,0,0)$.

For any point $P(x,y,z)$, its distance $d$ from the origin $O(0,0,0)$ is given by the formula:
$$d=\sqrt{x^2+y^2+z^2}$$

Here, the given point is $(-3,4,5)$.
Comparing this with $(x,y,z)$, we have:
$x=-3$
$y=4$
$z=5$

Now, substitute these coordinates into the distance formula:
$$d=\sqrt{{(-3)}^2+4^2+5^2}$$

Calculate the squares of each coordinate:
${(-3)}^2=9$
$4^2=16$
$5^2=25$

Add these squared values together:
$$d=\sqrt{9+16+25}$$
$$d=\sqrt{50}$$

Simplify the square root to express the final answer in its simplest radical form:
$$d=\sqrt{25\times 2}$$
$$d=5\sqrt{2}$$

Therefore, the distance of the point $(-3,4,5)$ from the origin is $5\sqrt{2}$ units.