Question

Find the distance between the two points in simplest radical form.
(9, 4) and (3,-4)

Answer 1

`\boxed{\textsf{ The distance between the two points is 8$\sf√(2)$ units .}}`

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 :-

`\sf\implies Distance =√( (x_2-x_1)^2+(y_2-y_1)^2)\\\\\sf\implies Distance =√( (9-3)^2+(4+4)^2)\\\\\sf\implies Distance =√( 8^2+8^2)\\\\\sf\implies Distance = √( 64 + 64 ) \\\\\sf\implies Distance = √( 128) \\\\\sf\implies Distance=√(64* 2)\\\\\sf\implies \boxed{\pink{\sf Distance = 8√(2) units .}}`