The problem gives two points, $A(0, 2)$ and $B(7, 3)$. We need to find the distance between these two points.

1. Problem Description

The problem gives two points, $A(0, 2)$ and $B(7, 3)$. We need to find the distance between these two points.

2. Solution Steps

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula:

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

In this case, $x_1 = 0$, $y_1 = 2$, $x_2 = 7$, and $y_2 = 3$.

Substituting these values into the distance formula, we get:

$d = \sqrt{(7 - 0)^2 + (3 - 2)^2}$

$d = \sqrt{(7)^2 + (1)^2}$

$d = \sqrt{49 + 1}$

$d = \sqrt{50}$

$d = \sqrt{25 \cdot 2}$

$d = 5\sqrt{2}$

3. Final Answer

The distance between the points A(0, 2) and B(7, 3) is $5\sqrt{2}$.