Question

Find the distance between the points (-1,-2) and (5,2). Simplified radical form.

Answer 1

2
`√(13)`

Explanation:

Using the distance formula,

`\sqrt{( x_(2)-x_(1) )^2+(y_(2) -y_(1))^2 }`

We just need to plug in the numbers.

So
`√((-1-5)^2+(-2-2)^2)`

Then we simplify it to

`√((-6)^2+(-4)^2) , to √(36+16)`

Finally, we get

`√(52)`, which is
`2√(13)` when simplified.