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

It is currently 19 Feb 2019, 13:06

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Prep Hour

     February 20, 2019

     February 20, 2019

     08:00 PM EST

     09:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

(√x)x can be expressed as:

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52971
(√x)x can be expressed as:  [#permalink]

Show Tags

New post 09 Apr 2018, 23:08
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (00:34) correct 31% (00:50) wrong based on 141 sessions

HideShow timer Statistics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3341
Location: India
GPA: 3.12
Premium Member
(√x)x can be expressed as:  [#permalink]

Show Tags

New post 09 Apr 2018, 23:18
Bunuel wrote:
\((\sqrt{x})x\) can be expressed as:


A. \(\sqrt{x^2}\)

B. \(x^3\)

C. \(\sqrt{x^3}\)

D. \(\frac{x^2}{2}\)

E. \(\sqrt[3]{x^2}\)


Formula used: \(a^m * a^n = a^{m+n}\)


The expression can be simplified as follows: \((\sqrt{x})x = (x^{\frac{1}{2}})x^1 = x^{\frac{1}{2} + 1} = x^{\frac{3}{2}} = \sqrt{x^3}\)

Therefore, \((\sqrt{x})x\) can be expressed as \(\sqrt{x^3}\)(Option C)
_________________

You've got what it takes, but it will take everything you've got

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 887
Re: (√x)x can be expressed as:  [#permalink]

Show Tags

New post 09 Apr 2018, 23:19
Bunuel wrote:
\((\sqrt{x})x\) can be expressed as:


A. \(\sqrt{x^2}\)

B. \(x^3\)

C. \(\sqrt{x^3}\)

D. \(\frac{x^2}{2}\)

E. \(\sqrt[3]{x^2}\)


As all we're given is equations, we'll use a simplification based approach.
This is a Precise methodology.

\(\sqrt{x}=x^\frac{1}{2}\)
\(x^\frac{1}{2}*x=x^{\frac{1}{2}+1}=x^\frac{3}{2}=\sqrt{x^3}\)

(C) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2577
Re: (√x)x can be expressed as:  [#permalink]

Show Tags

New post 09 Apr 2018, 23:57

Solution



Given:
    • We are given an expression (\(\sqrt{x}\))x.

To find:
    • We need to find the simplified form of (\(\sqrt{x}\))x.

Approach and Working:

    By the application of \(a^m * a^n = a^{(m+n)}\), we can write\(\sqrt{x}\)= \(x^{1/2}\)
    • Thus, (\(\sqrt{x}\)) \(x\)= \(x^{\frac{1}{2}}\)* \(x\)
    • =\(x ^{(1+\frac{1}{2})}\)
    • = \(x^\frac{3}{2}\)= By applying \((a^m)^{n}\)= \(a^{mn}\), we can write \(x^{\frac{3}{2}}\) as \((x^3)^{\frac{1}{2}}\)
    • = \(\sqrt{(x^3)}\)

Thus, \((\sqrt{x})x\) can be expressed as \(\sqrt{(x^3)}\)


Hence, the correct answer is option C.

Answer: C
_________________








Register for free sessions
Number Properties:- Get 5 free video lessons, 50 practice questions | Algebra:-Get 4 free video lessons, 40 practice questions
Quant Workshop:- Get 100 practice questions | Free Strategy Weession:- Key strategy to score 760

Success Stories
Q38 to Q50 | Q35 to Q50 | More Success Stories

Ace GMAT
Articles and Question to reach Q51 | Question of the week | Tips From V40+ Scoreres | V27 to V42:- GMAT 770 | Guide to Get into ISB-MBA

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

SVP
SVP
User avatar
D
Joined: 26 Mar 2013
Posts: 2067
Reviews Badge CAT Tests
(√x)x can be expressed as:  [#permalink]

Show Tags

New post 11 Apr 2018, 05:39
Bunuel wrote:
\((\sqrt{x})x\) can be expressed as:


A. \(\sqrt{x^2}\)

B. \(x^3\)

C. \(\sqrt{x^3}\)

D. \(\frac{x^2}{2}\)

E. \(\sqrt[3]{x^2}\)


\(x = \sqrt{x^2}\)

Therefore:

\((\sqrt{x})x\) = \((\sqrt{x})\sqrt{x^2}\) = \(\sqrt{x^3}\)

Answer: C

Another appraoch:

Let x = 2

Substitute in each answer choice

c = \(\sqrt{2^3}\) = \((\sqrt{2})2\)
VP
VP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1400
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Real Estate)
Premium Member Reviews Badge
Re: (√x)x can be expressed as:  [#permalink]

Show Tags

New post 11 Apr 2018, 08:56
Bunuel wrote:
\((\sqrt{x})x\) can be expressed as:


A. \(\sqrt{x^2}\)

B. \(x^3\)

C. \(\sqrt{x^3}\)

D. \(\frac{x^2}{2}\)

E. \(\sqrt[3]{x^2}\)


\(\sqrt{x}\)\(*x\)

\(x^\frac{1}{2}*{x^1}\)

\({x^\frac{3}{2}}\)

\(\sqrt{x^3}\)

Hence (C)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4933
Location: United States (CA)
Re: (√x)x can be expressed as:  [#permalink]

Show Tags

New post 12 Apr 2018, 14:58
Bunuel wrote:
\((\sqrt{x})x\) can be expressed as:


A. \(\sqrt{x^2}\)

B. \(x^3\)

C. \(\sqrt{x^3}\)

D. \(\frac{x^2}{2}\)

E. \(\sqrt[3]{x^2}\)


We can re-express the expression as:

x^(1/2) * x^1 = x^(1/2 + 1) = x^(3/2) = √(x^3)

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

GMAT Club Bot
Re: (√x)x can be expressed as:   [#permalink] 12 Apr 2018, 14:58
Display posts from previous: Sort by

(√x)x can be expressed as:

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


Copyright

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®.