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sq root

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Manager
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Joined: 29 Jun 2011
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Re: sq root [#permalink] New post 05 Jul 2011, 21:56
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

80% (01:17) correct 20% (00:00) wrong based on 5 sessions
check question again! it is incomplete!
[Reveal] Spoiler: OA

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Re: sq root [#permalink] New post 05 Jul 2011, 23:48
Take the square of A, B, and C then take the 4th power of D and E. The closest is A or .0025.
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Re: sq root [#permalink] New post 05 Jul 2011, 23:56
Expert's post
ssarkar wrote:
Of the following, which is the best approximation to sq root 0.0026 ?
(A) 0.05
(B) 0.06
(C) 0.16
(D) 0.5
(E) 0.6


0.0026 = 26/10,000

We want to estimate the square root of this, so we can round off the numerator to the closest perfect square, which is 25. Thus

\(\sqrt{ \frac{26}{10,000} } \approx \sqrt{ \frac{25}{10,000} } = \frac{ \sqrt{25} }{ \sqrt{10,000} } = \frac{5}{100} = 0.05\)
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Re: sq root [#permalink] New post 06 Jul 2011, 19:33
= sqrt(26*10^-4)

= (10^-2)*sqrt(26)

ie approximately 0.05

Answer is A.
Re: sq root   [#permalink] 06 Jul 2011, 19:33
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