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Which of the following is closest to √0.08?

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Which of the following is closest to √0.08? [#permalink]

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Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9

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Re: Which of the following is closest to √0.08? [#permalink]

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New post 24 Jan 2017, 03:25
MathRevolution wrote:
Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9



\(√0.08\) can be written as \(4^\frac{1}{2} * 2^\frac{1}{2} * 10^\frac{-2}{2}\)
=\(2* 1.41 * 10^\frac{-1}{1}\)
= 0.2 * 1.41
= 0. 282
=~ 0.3
Answer is C .
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Which of the following is closest to √0.08? [#permalink]

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New post 24 Jan 2017, 05:04
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MathRevolution wrote:
Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9



\(\sqrt{0.08}=\sqrt{\frac{8}{100}}=\sqrt{4}*\sqrt{2}*\sqrt{\frac{1}{100}}=2*1.4*\frac{1}{10}=0.28~~0.3\)
~0.3
C
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Re: Which of the following is closest to √0.08? [#permalink]

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New post 24 Jan 2017, 07:43
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MathRevolution wrote:
Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9


We can use the rule √(a/b) = (√a)/(√b)

√0.08 = √(8/100)
= (√8)/(√100)
≈ (√9)/(√100)
≈ 3/10
≈ 0.3

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Re: Which of the following is closest to √0.08? [#permalink]

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New post 24 Jan 2017, 08:01
MathRevolution wrote:
Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9


Split \(√0.08\) =\sqrt{8}/\sqrt{100}
=As \sqrt{9}≈3
\sqrt{8}=2.82≈3
==>\sqrt{8}/\sqrt{100}==>.3
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Re: Which of the following is closest to √0.08? [#permalink]

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New post 26 Jan 2017, 00:57
You get \(√0.08=about √0.09=√0.3^2=0.3\), so the answer is C.

Answer: C
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Re: Which of the following is closest to √0.08? [#permalink]

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New post 08 Feb 2018, 16:45
MathRevolution wrote:
Which of the following is closest to \(√0.08\)?

A. 0.03
B. 0.04
C. 0.3
D. 0.8
E. 0.9


We can simplify the given expression:

√0.08 = √(8/100) = √8/√100 = √8/10

√8 ≈ 2.8, so √8/10 ≈ 2.8/10 ≈ 0.3

Alternate Solution:

We can approximate √0.08 with √0.09. Testing the answer choices, we see that 0.3 is the only choice even remotely close, because 0.3^2 = 0.09.

Answer: C
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Re: Which of the following is closest to √0.08?   [#permalink] 08 Feb 2018, 16:45
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