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how to calculate (3)1/3 without calci

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Source: — Quantitative Reasoning |

by Jim@StratusPrep » Tue Oct 02, 2012 7:23 am
This is the cube root of 3. You likely will not have to know the precise value, just a range. It is greater than 1 and less than 1.5, just test numbers to get to this:

1 x 1 x 1 = 1

1.5 x 1.5 x 1.5 = 3.375
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by Brent@GMATPrepNow » Wed Oct 03, 2012 6:42 am
amanyadav wrote:3's power 1/3=??
I agree with Jim. You'd never need to evaluate 3^(1/3) with any degree of precision. That would require some pretty advanced math (Newton's Method) or a calculator (logarithms).

However, the GMAT might ask something like:

3^(1/3) is between
A) -2 and -1
B) -1 and 0
C) 0 and 1
D) 1 and 2
E) 2 and 3

Answer = D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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