How to solve the root questions ,For example wat is the value of root 4 + cubth root of 4 + 4th root of 4.
I got stuck on a similar kind of question on GMAT
How to solve root questions.
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GMAT will never ask to find out the exact value of that.karan.7045 wrote:How to solve the root questions ,For example wat is the value of root 4 + cubth root of 4 + 4th root of 4.
I got stuck on a similar kind of question on GMAT
The problem you are talking about is as follows,
To answer this problem, we only need an estimation of the value.If M = (square root of 4 + cube root of 4 + fourth root of 4), then the value of M is:
A. Less than 3
B. Equal to 3
C. Between 3 and 4
D. Equal to 4
E. Greater than 4
As 4 > 1, any root of 4 will be greater than 1.
Now, square root of 4 = 2
Cube root of 4 will be greater than 1 but less than square root of 2.
So, 1 < cube root of 4 < 2
Similarly, 1 < fourth root of 4 < 2
Hence, M must be greater than (2 + 1 + 1) = 4
The correct answer is E.
Anju Agarwal
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
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Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
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