Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Rewrite equation as \(\sqrt{1*10^{-5}}\), where 1 will come out as 1 and \(10^{-5}\) is \(10^{-4}*10^{-1}\) when divided by 2 ( square root) will be \(10^{-2}*10^{-1/2}\)

\(1/{100*\sqrt{10}}\)

to get rid of square root in denominator we multiply both sides with \(\sqrt{10}\) and get \(\sqrt{10}/{100*10}\). Answer C

+1 If you liked it _________________

Press +1 Kudos if my post helped you a little and help me to ulcock the tests Wish you all success

the answer is attached. this question was tricky because the exponents and roots component. thanks for your responses, you helped me to better understand this problem.

Let's take a closer look at √100,000 √100,000 = √(10,000 x 10) = (√10,000)(√10)[applied rule #2] = 100(√10)

So, 1/(√100,000) = 1/100√10 Check the answer choices...not there. Looks like we need to "fix" (rationalize) the denominator (for more on this, check the video below) Multiply top and bottom by √10 to get: (√10)(1)/(√10)(100√10) Simplify: (√10)/1000 Answer:

OA: C \(\sqrt{0.00001}\) = \(\sqrt{10^{-5}}=10^{-2}*10^{-\frac{{1}}{{2}}}= \frac{1}{{100\sqrt{10}}}\) Multiplying numerator and denominator by \(\sqrt{10}\) \(\frac{{1}}{{100\sqrt{10}}}\)\(*\)\(\frac{{\sqrt[]{10}}}{{\sqrt[]{10}}}\) \(=\frac{{\sqrt[]{10}}}{1000}\)
_________________