Hi

So I have this seemingly simple, but I just don't see how this works?

To

please if you can solve this, explain every step that leads to the result.

pretty nasty eh? Or maybe I'm just stupid

Thanks

Chris

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- May 11th 2010, 01:57 PMchutsuHow to factor this square root out?
Hi

So I have this seemingly simple, but I just don't see how this works?

To

please if you can solve this, explain every step that leads to the result.

pretty nasty eh? Or maybe I'm just stupid

Thanks

Chris - May 11th 2010, 02:47 PMmybrohshi5
What are you trying to solve for?

Or are you trying to get from the first equation to the second? - May 11th 2010, 03:18 PMmohammadfawaz
Are you sure that you didn't miss any thing? It is hard to get rid of the square root unless you have some relation between K, a M1, and M2.

- May 11th 2010, 04:07 PMSoroban
Hello, chutsu!

There are two typos in your problem.

I don't see where that "2" comes from.

Also, you left out the square-root in the second expression.

Quote:

How we get from: .

. . . to: .

Under the radical, we have: .

Multiply the second term by

. . .

Factor: .

Take the square root: . .

Substitute into the original expression:

. .

Factor out

- May 11th 2010, 04:30 PMchutsu
I think I got it, the square root disappears because I can do a Binomial Approximation which states:

Therefore solving the two missing "2"s you were saying. Am i correct?

P.S. This was part of a physics problem I have (Solid State Physics), which the algebra was kind of horrible to solve as you can see from the above... - May 12th 2010, 05:19 AMArchie Meade