Question

What is the distance, in radical form, between the points (4,6) and (8,-2)?

Answer 1

`d = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)} \\d = \sqrt{(8 - 4)^(2) + (-2 - 6)^(2)} \\d = \sqrt{(4)^(2) + (-8)^(2)} \\d = √(16 + 64) \\d = √(80) \\d = √(16 * 5) \\d = √(16)√(5) \\d = 4√(5)`