Answer:
[tex]\boxed{\textsf{ The distance between the two points is \textbf{12.164 units }.}}[/tex]
Step-by-step explanation:
Two points are given to us and we need to find the distance in simplest radical form. The given two points are (3,9) & (-2,2) . So lets use Distance Formula to find the distance between them .
Distance Formula is :-
[tex]\sf\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\sf\implies Distance =\sqrt{ (-2-3)^2+(9-2)^2}\\\\\sf\implies Distance =\sqrt{ -5^2+7^2}\\\\\sf\implies Distance = \sqrt{ 25 + 49} \\\\\sf\implies Distance = \sqrt{ 74} \\\\\sf\implies Distance=\sqrt{37}\times 2\\\\\sf\implies \boxed{\pink{\sf Distance = 12.164 units .}}[/tex]
