# What is the distance between #(-7, 7) # and #(5, 6) #?

##### 1 Answer

The distance between the two points is:

#### Explanation:

When you are not sure of something make a quick sketch so you can see more clearly what the situation is.

Let point 1 be

Let point 2 be

Let the direct distance between the two points be

The change in down is:

The change in along is:

Using Pythagoras

The only factors of 145 are 1, 5, 9, 145,

So we can not break this down into simplified surds (roots)

So we represent the solution as

The sign of