Question

Find the distance between the pair of points. Give an exact answer and an approximation.

​(3​,4​) and ​(5​,11​)

Answer 1

Answer:
`\displaystyle d=√(53)`

Explanation:

We will use the distance formula to solve. See attached and view the work below.

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

`\displaystyle d=√((5-3)^2 +(11-4)^2)`

`\displaystyle d=√((2)^2 +(7)^2)`

`\displaystyle d=√(4+49)`

`\displaystyle d=√(53)`

Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.