Answer:
[tex]\boxed{\textsf{ The distance between the two points is 8$\sf\sqrt{2}$ 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 (9,4) & (3,-4) . 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{ (9-3)^2+(4+4)^2}\\\\\sf\implies Distance =\sqrt{ 8^2+8^2}\\\\\sf\implies Distance = \sqrt{ 64 + 64 } \\\\\sf\implies Distance = \sqrt{ 128} \\\\\sf\implies Distance=\sqrt{64\times 2}\\\\\sf\implies \boxed{\pink{\sf Distance = 8\sqrt{2} units .}}[/tex]
