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root question

by rabab » Sun Nov 09, 2008 6:51 am
M = square root 4 + cube root 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

Ans: e.

Can anyone explain the answer?
Last edited by rabab on Sun Nov 09, 2008 8:01 am, edited 2 times in total.
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by stop@800 » Sun Nov 09, 2008 7:17 am
May be I am misunderstanding something

The equation adds to
8 sqrt 4


or do you mean to say
third root of 4 and
4th root of four
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by vishubn » Sun Nov 09, 2008 7:17 am
this is weird !!

Alright ! root 4 is taken as common factor
root 4(1+3+4)

8 root 4

so obviously it is greater than 4 !! i mean !!wat is that question is expecting out of this !!


Vishu
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by stop@800 » Sun Nov 09, 2008 7:20 am
let me try for secound choice,
that sounds mroe logical :)

root 4 will be 2

4root4 will be sqrt(2) which is 1.414

sum will be 3.414

now 3root4 will lie between 2 and 1.414

so sum will always be greater than 4

hope this helps!!!
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by rabab » Sun Nov 09, 2008 7:52 am
hey guys

i am sorry for my earlier post. i am posting it again, i hope this raises no question anymore--

M = square root 4 + cube root 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 - answer
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by raunekk » Sun Nov 09, 2008 9:39 am
let me try for secound choice,
that sounds mroe logical

root 4 will be 2

4root4 will be sqrt(2) which is 1.414

sum will be 3.414

now 3root4 will lie between 2 and 1.414

so sum will always be greater than 4

hope this helps!!!
i agree totally...
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by UCLA97grad » Thu Nov 13, 2008 11:37 am
square root 4 + cube root 4 + fourth root of 4


The square root of 4 is 2. That's simple.
The fourth root of 4 = the square root of 2 since 4 is 2 squared.
The cube root of 4 will be < square root of 4 and > fourth root of 4.

= 2 + cube root 4 + square root of 2

This means 2 + a little less than 2 + a little more less than 2 > 4



For more information on these types of problems, see the Exponential Equations GMAT Study Guide.
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by logitech » Thu Nov 13, 2008 11:42 am
UCLA97grad wrote: For more information on these types of problems, see the Exponential Equations GMAT Study Guide.
Thanks for the link.
LGTCH
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