Step 1: Understanding the Question:
The question asks for the distance between a given point P(3, 4) and the origin (0, 0) on a 2D Cartesian plane.
Step 2: Key Formula or Approach:
The distance \(D\) of a point \((x, y)\) from the origin \((0, 0)\) is calculated using a simplified version of the distance formula, which is derived from the Pythagoras theorem:
\[
D = \sqrt{x^2 + y^2}
\]
Step 3: Detailed Explanation:
The coordinates of the given point P are \((x, y) = (3, 4)\).
This means we have \(x = 3\) and \(y = 4\).
Substitute these values into the distance from origin formula:
\[
D = \sqrt{(3)^2 + (4)^2}
\]
Next, calculate the squares of the numbers:
\[
D = \sqrt{9 + 16}
\]
Add the values inside the square root:
\[
D = \sqrt{25}
\]
Finally, compute the square root:
\[
D = 5
\]
Step 4: Final Answer:
The distance of the point P(3, 4) from the origin is 5 units.
\[
\boxed{5}
\]