Find the distance of the point P (4, 2) from origin.

Answer

To find the distance of the point P(4, 2) from the origin (0, 0), we can use the distance formula. The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

### Step-by-Step Solution:

1. **Identify the coordinates:**
- The coordinates of point P are \( (4, 2) \).
- The coordinates of the origin are \( (0, 0) \).

2. **Substitute the coordinates into the distance formula:**
- Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (4, 2) \).
- Substitute these values into the formula:
\[ d = \sqrt{(4 - 0)^2 + (2 - 0)^2} \]

3. **Calculate the differences:**
- Calculate \( (4 - 0) \) and \( (2 - 0) \):
\[ d = \sqrt{(4)^2 + (2)^2} \]

4. **Square the differences:**
- Now square the differences:
\[ d = \sqrt{16 + 4} \]

5. **Add the squares:**
- Add the squared values:
\[ d = \sqrt{20} \]

6. **Simplify the square root:**
- Factor \( 20 \) as \( 4 \times 5 \):
\[ d = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5} \]

### Final Answer:
The distance of the point P(4, 2) from the origin is \( 2\sqrt{5} \) units.