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# GMAT Prep Radicals and Exponents operations question

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Manager
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GMAT Prep Radicals and Exponents operations question [#permalink]  04 Oct 2009, 12:48
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
Can't figure out hwo to get this one to show up using html tags...

so i'll try it with text:

Manager
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Re: GMAT Prep Radicals and Exponents operations question [#permalink]  04 Oct 2009, 13:42
1
KUDOS

$$(\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})^2$$

$$= (\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})(\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})$$

$$= (9+\sqrt{80}) + 2\sqrt{9+\sqrt{80}}\sqrt{9-\sqrt{80}} + (9-\sqrt{80})$$

$$= 18 + 2\sqrt{9^2-\sqrt{80}^2}$$

$$= 18 + 2\sqrt{1}$$

$$= 20$$
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Re: GMAT Prep Radicals and Exponents operations question [#permalink]  07 Oct 2009, 20:45
Expert's post
Here is the code of the Math Tags:

Code:

[m](\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})^2[/m]

[m]= (\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})(\sqrt{9+\sqrt{80}} + \sqrt{9-\sqrt{80}})[/m]

[m]= (9+\sqrt{80}) + 2\sqrt{9+\sqrt{80}}\sqrt{9-\sqrt{80}} + (9-\sqrt{80})[/m]

[m]= 18 + 2\sqrt{9^2-\sqrt{80}^2}[/m]

[m]= 18 + 2\sqrt{1}[/m]

[m]= 20[/m]

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Manager
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Re: GMAT Prep Radicals and Exponents operations question [#permalink]  07 Oct 2009, 21:43
Agree with AKProdigy87....20 it is
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Re: GMAT Prep Radicals and Exponents operations question   [#permalink] 07 Oct 2009, 21:43
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