Problem Solving

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?

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

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

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!!!

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

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...

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.

UCLA97grad wrote: For more information on these types of problems, see the Exponential Equations GMAT Study Guide.

Thanks for the link.