Question

Find the distance between the two points in simplest radical form.
(8, -3) (6, -8)

Answer 1

`d = √(29)`

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (8, -3)

Point (6, -8)

Step 2: Find distance d

1. Substitute:
   `d = √((6-8)^2+(-8+3)^2)`
2. Subtract/Add:
   `d = √((-2)^2+(-5)^2)`
3. Exponents:
   `d = √(4+25)`
4. Add:
   `d = √(29)`