Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 May 2017, 14:53

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the

Author Message
TAGS:

### Hide Tags

Manager
Joined: 19 Sep 2005
Posts: 110
Followers: 1

Kudos [?]: 11 [1] , given: 0

If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the [#permalink]

### Show Tags

10 Oct 2005, 08:03
1
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:48) correct 31% (00:50) wrong based on 322 sessions

### HideShow timer Statistics

If $$M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}$$, 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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-m-root-4-cube-root-4-fourth-root-4-then-the-93340.html
[Reveal] Spoiler: OA
Manager
Joined: 04 May 2005
Posts: 133
Location: Chicago
Followers: 1

Kudos [?]: 9 [0], given: 0

### Show Tags

10 Oct 2005, 08:39
Does this need some clarification? I do not understand the question. Should there be some sort of vaule in front of ^?
_________________

Christopher Wilson

Manager
Joined: 03 Oct 2005
Posts: 87
Followers: 1

Kudos [?]: 8 [0], given: 0

### Show Tags

10 Oct 2005, 08:43
I couldn't understand the question -

by ^3sqrt(4) - you mean cube root of 4?

Thanks.
Manager
Joined: 19 Sep 2005
Posts: 110
Followers: 1

Kudos [?]: 11 [0], given: 0

### Show Tags

10 Oct 2005, 09:07
I didn't know how to type it properly.

it's the cubed root of sqr rt of 4 and the 4th root of sqrt of 4

so it's square root of 4 plus the raised power 3 in front of the sq. rt of 4 plus the raised power 4 in front of the sq. rt of 4.

thanks
Current Student
Joined: 28 Dec 2004
Posts: 3363
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 297 [0], given: 2

### Show Tags

10 Oct 2005, 09:22
E greater than 4...

2+1.41+~1=~4.4
Manager
Joined: 03 Oct 2005
Posts: 87
Followers: 1

Kudos [?]: 8 [0], given: 0

### Show Tags

10 Oct 2005, 09:28
2 + sqrt(2) + cube root(2) = 2 + 1.41 + sqrt(1.41) = 2+1.41 + 1.xxx

so more than 4

E.
Director
Joined: 29 Nov 2012
Posts: 885
Followers: 15

Kudos [?]: 1188 [0], given: 543

Re: if m = sqrt(4) + ^3sqrt(4) + ^4sqrt(4), then M is a. less [#permalink]

### Show Tags

24 Jul 2013, 03:31
Answer should be E as ^3sqrt(4) + ^4sqrt(4) are both greater than 1
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
Joined: 02 Sep 2009
Posts: 38841
Followers: 7718

Kudos [?]: 105918 [6] , given: 11593

Re: If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the [#permalink]

### Show Tags

24 Jul 2013, 03:43
6
KUDOS
Expert's post
4
This post was
BOOKMARKED
If $$M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}$$, 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

Here is a little trick: any positive integer root from a number more than 1 will be more than 1.

For instance: $$\sqrt[1000]{2}>1$$.

Hence $$\sqrt[3]{4}>1$$ and $$\sqrt[4]{4}>1$$ --> $$M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}=2+(number \ more \ then \ 1)+(number \ more \ then \ 1)>4$$

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-m-root-4-cube-root-4-fourth-root-4-then-the-93340.html
_________________
Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 614
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 108

Kudos [?]: 650 [0], given: 57

If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the [#permalink]

### Show Tags

14 Aug 2015, 13:48
Thank you
Jennif102 wrote:
If $$M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}$$, 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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-m-root-4-cube-root-4-fourth-root-4-then-the-93340.html

_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the   [#permalink] 14 Aug 2015, 13:48
Similar topics Replies Last post
Similar
Topics:
21 If x does not equal to 0 and x = root(4xy - 4y^2), then in 12 12 Dec 2015, 08:31
138 If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the 29 11 Feb 2017, 22:30
3 If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the 6 25 Sep 2014, 06:14
5 If M=(root)(4)+(cube root)(4)+(fourth root)(4), then the 11 14 Nov 2014, 09:13
Display posts from previous: Sort by