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# PS simple but confusing square root

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Manager
Joined: 05 Feb 2007
Posts: 139
PS simple but confusing square root [#permalink]

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01 Feb 2009, 20:09
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the square of 5 ^ sqroot(2) = ?
SVP
Joined: 29 Aug 2007
Posts: 2467
Re: PS simple but confusing square root [#permalink]

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01 Feb 2009, 20:16
giantSwan wrote:
the square of 5^sqroot(2) = ?

using excel:

= $$(5^{sqrt2})^2$$
= $$(5^{1.4142})^2$$
= $$(9.74)^2$$
= $$94.84$$
Edited....
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Senior Manager
Joined: 26 May 2008
Posts: 426
Schools: Kellogg Class of 2012
Re: PS simple but confusing square root [#permalink]

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01 Feb 2009, 22:38
But doesn't the question mean Square of (5 to the power square root 2)?

In which case the answer is 25

Square of (5^sq.root(2)).

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Joined: 07 Nov 2007
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Location: New York
Re: PS simple but confusing square root [#permalink]

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02 Feb 2009, 00:21
giantSwan wrote:
the square of 5 ^ sqroot(2) = ?

square of 5 ^ sqroot(2)
$$= 5^sqrt(2)*5^sqrt(2) = 5^{2sqrt(2)}$$
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VP
Joined: 18 May 2008
Posts: 1258
Re: PS simple but confusing square root [#permalink]

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02 Feb 2009, 05:18
I agree with suresh
x2suresh wrote:
giantSwan wrote:
the square of 5 ^ sqroot(2) = ?

square of 5 ^ sqroot(2)
$$= 5^sqrt(2)*5^sqrt(2) = 5^{2sqrt(2)}$$
Re: PS simple but confusing square root   [#permalink] 02 Feb 2009, 05:18
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