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

Question

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

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

IanStewart · Accepted Answer

\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}

BrentGMATPrepNow · Answer

Nice rule:   \frac{\sqrt{x}}{\sqrt{y}}=\sqrt{\frac{x}{y}}

So,  \frac{\sqrt{1919}}{\sqrt{0.1919}}=\sqrt{\frac{1919}{0.1919}}=\sqrt{10,000}=100

Answer: C

King407 · Answer

\sqrt{1,919}/\sqrt{0.1919}  
=  ^1/2 =>  ^1/2 =>  ^1/2 = 100

Hence answer is C

JeffTargetTestPrep · Answer

Let’s simplify the given equation:

√1,919/√(1,919/10,000)

√1,919/

/(√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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(1,919)^(1/2)/(0.1919)(1/2)

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

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