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(1,919)^(1/2)/(0.1919)(1/2)

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(1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post Updated on: 14 Jun 2015, 11:20
6
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:11) correct 33% (01:23) wrong based on 287 sessions

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\(\frac{\sqrt{1,919}}{\sqrt{0.1919}}\)=

A. 0.0001
B. 0.01
C. 100
D.1,000
E. 10,000

Originally posted by petu on 14 Jun 2015, 08:31.
Last edited by Bunuel on 14 Jun 2015, 11:20, edited 1 time in total.
Renamed the topic and edited the question.
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Re: (1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post 14 Jun 2015, 10:38
6
2
\(\begin{align}
\frac{\sqrt{1919}}{\sqrt{0.1919}} = \frac{\sqrt{1919}}{\sqrt{\frac{1919}{10,000}} \\
= \frac{\sqrt{1919}}{ (\sqrt{1919} ) ( \sqrt{\frac{1}{10,000}} )} \\
= \frac{1}{\sqrt{\frac{1}{10,000}}} \\
= \frac{1}{(\frac{1}{100})} \\
= 100
\end{align}\)
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Re: (1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post 14 Jun 2015, 10:49
1
petu wrote:
\(\sqrt{1,919}/\sqrt{0.1919}\)=

A. 0.0001

B. 0.01

C. 100

D.1,000

E. 10,000


\(\sqrt{1,919}/\sqrt{0.1919}\)
= [(1,919/(1919*10^-4)]^1/2 => [1/10^-4]^1/2 => [10^4]^1/2 = 100

Hence answer is C
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Re: (1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post 22 Aug 2016, 14:27
2
Top Contributor
petu wrote:
\(\frac{\sqrt{1,919}}{\sqrt{0.1919}}\)=

A. 0.0001
B. 0.01
C. 100
D.1,000
E. 10,000


Nice rule: (√x)/(√y) = √(x/y)

So, (√1919)/(√0.1919) = √(1919/0.1919)
= √10000
= 100

Answer:

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Re: (1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post 12 Nov 2017, 08:21
petu wrote:
\(\frac{\sqrt{1,919}}{\sqrt{0.1919}}\)=

A. 0.0001
B. 0.01
C. 100
D.1,000
E. 10,000


Let’s simplify the given equation:

√1,919/√(1,919/10,000)

√1,919/[(√1,919)/(√10,000)]

[(√1,919) x (√10,000)]/(√1,919) = √10,000 = 100

Alternate Solution:

Recall the rule that the quotient of two square roots is equal to the square root of the quotient. Using this rule, we have √(1,919)/√(0.1919) = √(1,919/0.1919) = √10,000 = 100.

Answer: C
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Re: (1,919)^(1/2)/(0.1919)(1/2)  [#permalink]

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New post 24 Feb 2019, 05:32
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Re: (1,919)^(1/2)/(0.1919)(1/2)   [#permalink] 24 Feb 2019, 05:32
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