GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Jun 2018, 22:37

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the difference between 150^(1/2) and 54^(1/2)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46176
What is the difference between 150^(1/2) and 54^(1/2) [#permalink]

Show Tags

New post 04 Mar 2018, 23:10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

89% (00:42) correct 11% (01:15) wrong based on 34 sessions

HideShow timer Statistics

What is the difference between \(\sqrt{150}\) and \(\sqrt{54}\)

(A) \(2\sqrt{6}\)

(B) \(16\sqrt{6}\)

(C) \(\sqrt{96}\)

(D) \(6\sqrt{2}\)

(E) \(8\sqrt{6}\)

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46176
Re: What is the difference between 150^(1/2) and 54^(1/2) [#permalink]

Show Tags

New post 04 Mar 2018, 23:50
Bunuel wrote:
What is the difference between \(\sqrt{150}\) and \(\sqrt{54}\)

(A) \(2\sqrt{6}\)

(B) \(16\sqrt{6}\)

(C) \(\sqrt{96}\)

(D) \(6\sqrt{2}\)

(E) \(8\sqrt{6}\)


8. Exponents and Roots of Numbers



Check below for more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
avatar
G
Joined: 21 May 2013
Posts: 646
Re: What is the difference between 150^(1/2) and 54^(1/2) [#permalink]

Show Tags

New post 05 Mar 2018, 04:12
Bunuel wrote:
What is the difference between \(\sqrt{150}\) and \(\sqrt{54}\)

(A) \(2\sqrt{6}\)

(B) \(16\sqrt{6}\)

(C) \(\sqrt{96}\)

(D) \(6\sqrt{2}\)

(E) \(8\sqrt{6}\)



=5\sqrt{6}-3\sqrt{6}
=2\sqrt{6}
Answer A
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3509
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
What is the difference between 150^(1/2) and 54^(1/2) [#permalink]

Show Tags

New post 05 Mar 2018, 07:01
Bunuel wrote:
What is the difference between \(\sqrt{150}\) and \(\sqrt{54}\)

(A) \(2\sqrt{6}\)

(B) \(16\sqrt{6}\)

(C) \(\sqrt{96}\)

(D) \(6\sqrt{2}\)

(E) \(8\sqrt{6}\)


\(\sqrt{150} - \sqrt{54}\)

= \(\sqrt{5^2*3*2} - \sqrt{2*3^3}\)

= \(5\sqrt{6} - 3\sqrt{6}\)

= \(2\sqrt{6}\), Answer must be (A)
_________________

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 )

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: What is the difference between 150^(1/2) and 54^(1/2) [#permalink]

Show Tags

New post 06 Mar 2018, 11:19
Bunuel wrote:
What is the difference between \(\sqrt{150}\) and \(\sqrt{54}\)

(A) \(2\sqrt{6}\)

(B) \(16\sqrt{6}\)

(C) \(\sqrt{96}\)

(D) \(6\sqrt{2}\)

(E) \(8\sqrt{6}\)



We need to determine √150 - √54:

√150 - √54 = √25 x √6 - √9 x √6

5√6 - 3√6 = 2√6

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: What is the difference between 150^(1/2) and 54^(1/2)   [#permalink] 06 Mar 2018, 11:19
Display posts from previous: Sort by

What is the difference between 150^(1/2) and 54^(1/2)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.