Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43896

Rank those three in order from smallest to biggest. [#permalink]
Show Tags
26 Oct 2016, 21:53
Question Stats:
61% (01:10) correct 39% (01:14) wrong based on 140 sessions
HideShow timer Statistics
Rank those three in order from smallest to biggest. I. \(2\sqrt{5}\) II. \(3\sqrt{2}\) III. \(\sqrt[4]{401}\) (A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 06 Jun 2016
Posts: 263
Location: India
Concentration: Operations, Strategy
GMAT 1: 600 Q49 V23 GMAT 2: 680 Q49 V34
GPA: 3.9

Re: Rank those three in order from smallest to biggest. [#permalink]
Show Tags
26 Oct 2016, 22:21
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I IMO C 2 sqrt5= 2*2.236= 4.472 3 sqrt2= 3* 1.414= 4.242 (401)^(1/4) = 4.475 (1, 16, 81, 256, 625) === (401)^(1/4) will fall between 256 and 625



Manager
Joined: 28 Jun 2016
Posts: 207
Location: Canada
Concentration: Operations, Entrepreneurship

Rank those three in order from smallest to biggest. [#permalink]
Show Tags
27 Oct 2016, 00:32
2
This post received KUDOS
2
This post was BOOKMARKED
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Raise all the options to the power of 4. I. 2^4* 5^2 = 400 II. 3^4*2^2 = 324 III. 401 II < I < III C Edited calculation error Sent from my iPhone using GMAT Club Forum mobile app
Last edited by acegmat123 on 28 Oct 2016, 20:06, edited 2 times in total.



Senior Manager
Joined: 06 Jun 2016
Posts: 263
Location: India
Concentration: Operations, Strategy
GMAT 1: 600 Q49 V23 GMAT 2: 680 Q49 V34
GPA: 3.9

Rank those three in order from smallest to biggest. [#permalink]
Show Tags
27 Oct 2016, 02:10
acegmat123 wrote: Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Raise all the options to the power of 4. I. 2* 5^2 = 50 II. 3*2^2 = 12 III. 401 II < I < III C 1 is 16*25= 400 2 is 81*4=324 3 is 401 Liked your style of solution though i went the conventional way. Took me a bit more time than this solution



Manager
Joined: 23 May 2013
Posts: 189
Location: United States
Concentration: Technology, Healthcare
GPA: 3.5

Re: Rank those three in order from smallest to biggest. [#permalink]
Show Tags
27 Oct 2016, 07:27
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Put all numbers into their most basic square root forms. I. \(2\sqrt{5}\) = \(\sqrt{4*5} = \sqrt{20}\) II. \(3\sqrt{2}\) = \(\sqrt{9*2}\) = \(\sqrt{18}\) III. \(\sqrt[4]{401}\). This one is a bit more difficult. To take the 4th root is to take the square root twice. The square root of 401 is slightly more than 20, so the 4th root of 401 will be slightly more than \(\sqrt{20}\). Thus, our ordering from smallest to largest is II,I,III. Answer: C



Intern
Joined: 09 Apr 2016
Posts: 34

Re: Rank those three in order from smallest to biggest. [#permalink]
Show Tags
12 Dec 2016, 09:04
speedilly wrote: Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Put all numbers into their most basic square root forms. I. \(2\sqrt{5}\) = \(\sqrt{4*5} = \sqrt{20}\) II. \(3\sqrt{2}\) = \(\sqrt{9*2}\) = \(\sqrt{18}\) III. \(\sqrt[4]{401}\). This one is a bit more difficult. To take the 4th root is to take the square root twice. The square root of 401 is slightly more than 20, so the 4th root of 401 will be slightly more than \(\sqrt{20}\). Thus, our ordering from smallest to largest is II,I,III. Answer: C For the last step I would suggest to bring \(\sqrt{20}\) to \(2\sqrt{5}\)[/b], which is a little bit smaller than I



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: Rank those three in order from smallest to biggest. [#permalink]
Show Tags
22 Jan 2018, 07:17
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I I. \((2\sqrt{5})^2\) = 20 & \(20^2\) = \(400\) II.\((3\sqrt{2})2\) = 18 & \(18^2\) = \(324\) III.\((\sqrt[4]{401})^4\) = \(401\) So, Ascending order of arrangement will be II, I, III , answer will be (C)
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



SVP
Joined: 08 Jul 2010
Posts: 1959
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: Rank those three in order from smallest to biggest. [#permalink]
Show Tags
22 Jan 2018, 07:30
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Best way to answer such questions is APPROXIMATION I. \(2\sqrt{5}\) = 2*2.25 = 4.5 II. \(3\sqrt{2}\) = 3*1.41 = 4.2 III. \(\sqrt[4]{401}\) = \(\sqrt{20}\) = 4.49 Answer: Option C
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Senior Manager
Joined: 31 Jul 2017
Posts: 299
Location: Malaysia
WE: Consulting (Energy and Utilities)

Rank those three in order from smallest to biggest. [#permalink]
Show Tags
22 Jan 2018, 08:27
Bunuel wrote: Rank those three in order from smallest to biggest.
I. \(2\sqrt{5}\)
II. \(3\sqrt{2}\)
III. \(\sqrt[4]{401}\)
(A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, II, I Best way to answer this is \(a^4 = 400, b^4 = 162, c^4 = 401\).. Now if we have doubt in this try\(a^4  b^4 = (ab)(a+b)(a^2+b^2)\).. Similarly,\(c^4  a^4, c^4  b^4\)
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!




Rank those three in order from smallest to biggest.
[#permalink]
22 Jan 2018, 08:27






