Question

Find the distance between (6,-2) and (1,2)

Answer 1

Answer:
`\displaystyle d=√(41) \approx 6.4`

Explanation:

We will use the distance formula to help us solve (see attached). Let (6, -2) be point one and (1, 2) be point two.

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

`\displaystyle d=√((1-6)^2 +(2--2)^2)`

`\displaystyle d=√((-5)^2 +(4)^2)`

`\displaystyle d=√(25 +16)`

`\displaystyle d=√(41) \approx 6.4`

41 is a prime number, so this is the simplest radical form.