Question from Gmat Prep- Help please! 8

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bobdylan: Senior | Next Rank: 100 Posts; Posts: 68; Joined: Wed Nov 30, 2011 3:12 pm

by bobdylan » Wed Apr 18, 2012 5:37 am

What is M?
M= square root of 4 +cube root of 4+ fourth root of 4
a) less than 3
b) equal to 3
c) between 3 and 4
d)equal to 4
e)greater than 4

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Source: Beat The GMAT — Problem Solving | Wed Apr 18, 2012 5:37 am

aneesh.kg: Master | Next Rank: 500 Posts; Posts: 385; Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members; Location: Pune, India; Thanked: 186 times

by aneesh.kg » Wed Apr 18, 2012 5:57 am

Square root of 4 = 2
Cube root of 4 = 1.6 (approximately, 1.6^2 is 2.56 and 2.56*1.6 is around 4)
Fourth Root of 4 = 1.4 (approximately, because 1.4^2 is approximately 2 and 2^2 is 4)

So, M = 5 (approx)

(E) is the answer.

Aneesh Bangia
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sam2304: Legendary Member; Posts: 1239; Joined: Tue Apr 26, 2011 6:25 amFollowed by: 26 members; Thanked: 233 times; GMAT Score:680

by sam2304 » Wed Apr 18, 2012 6:08 am

4^1/2 + 4^1/3 + 4^1/4

Take the common smallest value from the powers

1/4(2 + 4/3 + 1)
1/4(13/3)
13/12
1.xx
4^1.xx > 4

Is this approach right ? I got a bit confused with taking common values.

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