Question

Find the distance between the two points in simplest radical form.

Answer 1

`\boxed{10}`

Step-by-step explanation:

The distance between two points is given,
`d=√((x_2 - x_1)^2 + (y_2 - y_1)^2)`

where
`\sf (x_1,y_1),\:(x_2,y_2) \:are\:points`

Here (5, -4) and (-1, 4) are the points.

Inserting this values in the formula, gives:

`d=√((-1 -5)^2 + (4 - (-4))^2)`

evaluate

`d=√((-6)^2 + (8)^2)`

simplify exponents

`d=√(36 +64)`

add integers

`d=√(100)`

simplify

`d=10`

Hence, the distance between those two points is 10 units.