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# is there a quick trick to simplify the math? this took

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Director
Joined: 23 Sep 2007
Posts: 787
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is there a quick trick to simplify the math? this took [#permalink]

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28 Feb 2008, 20:07
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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is there a quick trick to simplify the math?

this took forever to factor out.
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Director
Joined: 10 Sep 2007
Posts: 943
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Re: gmatprep PS: (squareroot of squareroot)^2 [#permalink]

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28 Feb 2008, 20:16
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Assume 9 as A and Root80 As B.

So we have (Root(A+B) + Root(A-B))^2

Now Use (X+Y)^2 = X^2 + Y^2 + 2XY

So

Answer is (Root(A+B))^2 + (Root(A-B))^2 + 2(Root(A+B)Root(A-B))

= 9 + Root80 + 9 - Root80 + 2 (Root(9^2-Root80^2))

= 18 + 2(Root(81-80))

= 18 + 2

= 20
Re: gmatprep PS: (squareroot of squareroot)^2   [#permalink] 28 Feb 2008, 20:16
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