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Intern  Joined: 30 Mar 2015
Posts: 14
GMAT 1: 730 Q49 V40 Show Tags

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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.
GMAT Tutor G
Joined: 24 Jun 2008
Posts: 1806

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\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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Manager  Joined: 03 Sep 2014
Posts: 75
Concentration: Marketing, Healthcare

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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
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4009

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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

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Target Test Prep Representative G
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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.

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