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a>b>0

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Source: — Problem Solving |
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by VP_Jim » Sun Jul 12, 2009 1:57 pm
This is a common thing to see on the GMAT. You need to know that:

(a^2-b^2) = (a+b)(a-b)

So, in this problem, you're taking the original expression to the 1/2 power. You can convert into the second expression, and "distribute" that 1/2 to both terms to get:

(a+b)^1/2 x (a-b)^1/2

It's MUCH easier to do this without typing (i.e., on a blackboard) - I hope that makes sense!
Last edited by VP_Jim on Sun Jul 12, 2009 2:42 pm, edited 1 time in total.
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by kishore99 » Sun Jul 12, 2009 2:18 pm
Small correction to previous post,

CORRECT: (a^2 - b^2) = (a+b)(a-b)

WRONG: (a-b)^2 = (a+b)(a-b)
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by VP_Jim » Sun Jul 12, 2009 2:41 pm
Whoops, sorry. Like I said, much easier to do this with a blackboard. :) I never have gotten used to using the ^ character for exponents. It makes my brain freeze up. I edited my previous post for clarity's sake.
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