Question

What’s the distance between (3, 2) and (6, 4)

Answer 1

..see attachment

`√((6-3)^2+(4-2)^2) =\\\\√(3^2+2^2) = √(13)`.

distance between (3, 2) and (6, 4) : √13

Explanation:

Answer 2

To find the distance between the points (3, 2) and (6, 4), we can use the distance formula.

1. The distance formula is given by:

Distance = √((x2 - x1)² + (y2 - y1)²)

2. In this case, the coordinates of point 1 are (3, 2), and the coordinates of point 2 are (6, 4). Substituting these values into the distance formula, we have:

Distance = √((6 - 3)² + (4 - 2)²)

3. Simplifying the expression, we get:

Distance = √(3² + 2²)

4. Calculating further, we have:

Distance = √(9 + 4)

5. Adding the values inside the square root, we get:

Distance = √13

6. Therefore, the distance between the points (3, 2) and (6, 4) is √13, which is an irrational number.

In summary, using the distance formula, we can determine that the distance between the points (3, 2) and (6, 4) is √13.