Finding the distance between points

The question states find the distance between the following points (a,sqrt(a)) (a+h,sqrt(a+h))

To begin with i know i should plug it into the distance formula so..

sqrt((a+h-a)^2 + (sqrt(a+h)-sqrt(a))^2)

from here I subtract a from a+h leaving sqrt((h)^2 + (sqrt(a+h)-sqrt(a))^2)

I'm unsure of how to proceed from here. If I remeber correctly (sqrt(a+h)-sqrt(a) is already simplified so i would assume I multiply (sqrt(a+h)-sqrt(a) (sqrt(a+h)-sqrt(a) use foil and then add the (h)^2 to the product but that answer doesn't check.

I then tried to rationalize the numerator but that seems like i'm over complicating it. i've been trying to solve this off and on for a week now with no luck its just an optional homework assignment that isn't graded, but I would really like to know how to figure this out. Any help would greatly be appreciated.

Re: Finding the distance between points

The distance between two points and is given by the formula:

So in this case the disctance is given by:

Re: Finding the distance between points

Quote:

Originally Posted by

**Siron** The distance

between two points

and

is given by the formula:

So in this case the disctance is given by:

ok... my text book and this website says sqrt((x2-x1)^2 + (y2-y1)^2) am I missing something or is this a typo?

Re: Finding the distance between points

Quote:

Originally Posted by

**riderk** ok... my text book and this

website says sqrt((x2-x1)^2 + (y2-y1)^2) am I missing something or is this a typo?

Quote:

Originally Posted by

**riderk** The question states find the distance between the following points (a,sqrt(a)) (a+h,sqrt(a+h))

Those two are exactly the same. There is no typo.

In this problem: thus

thus

Re: Finding the distance between points

No, there is no typo. I don't see any difference between what you give and what Siron says. It is true that you have and Siron has but they are the same: .

Re: Finding the distance between points

@ riderk:

My apologies in case of confusing you, but I couldn't read your answer well, but now I see you're right :).