decimals and radicals

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deltron: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Thu Oct 01, 2009 1:01 pm

by deltron » Mon Mar 29, 2010 6:46 am

I took the GMAT last week. I did pretty well, however, there were a few quant problems that I wasn't expecting.

I went through the Kaplan quiz bank and Manhattan GMAT practice tests. It seemed that on the real test, the questions were easier but the numbers they used were harder.

Two of the quant problems I saw had decimals under a radical. How do you handle that?

For example, what is âˆš (10^-10) ? what about âˆš1.6 ?

Thanks

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Source: Beat The GMAT — Problem Solving | Mon Mar 29, 2010 6:46 am

liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pmFollowed by: 1 member; Thanked: 97 times

by liferocks » Mon Mar 29, 2010 8:02 am

Hi,
In this case my approach is to take the decimal as fraction.ex 1.6=160/100(I took the denominator as 100 as this is a square number) then calculate square root of denominator and numerator finally divide to get the decimal.
Here is an article to calculate the square-root using algorithm.
https://www.homeschoolmath.net/teaching/ ... orithm.php
Hope this will help.

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sakali: Senior | Next Rank: 100 Posts; Posts: 38; Joined: Fri Mar 12, 2010 2:47 pm; Thanked: 3 times

by sakali » Mon Mar 29, 2010 1:19 pm

For Sqrt(10 ^-10)
you could take it as Sqrt (1/10^10)

which equals Sqrt(1) / 10^5

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