Final answer:
To find the length of AB with Point A at (-3,4) and Point B at (5,2), we use the distance formula, which yields a result of 2√17 when simplified to simplest radical form.
Step-by-step explanation:
The length of line segment AB, where Point A is located at (-3,4) and Point B is located at (5,2), is calculated using the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = √((x2 - x1)2 + (y2 - y1)2)
Substituting the given points into the distance formula:
d = √((5 - (-3))2 + (2 - 4)2)
d = √((8)2 + (-2)2)
d = √(64 + 4)
d = √68
Since √68 can be simplified to √(4*17), which is 2√17:
d = 2√17
Therefore, the length of AB in simplest radical form is 2√17.