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

 It is currently 22 Feb 2019, 16:51

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# If √a + b = 8 and √a – √b = 0, what is a?

Author Message
Math Expert
Joined: 02 Sep 2009
Posts: 53066
If √a + b = 8 and √a – √b = 0, what is a?  [#permalink]

### Show Tags

22 Jan 2019, 00:14
00:00

Difficulty:

65% (hard)

Question Stats:

37% (00:34) correct 63% (01:50) wrong based on 19 sessions

### HideShow timer Statistics

If √a + b = 8 and √a – √b = 0, what is a?

A 0
B 2
C 4
D 8
E 32

_________________
VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If √a + b = 8 and √a – √b = 0, what is a?  [#permalink]

### Show Tags

22 Jan 2019, 06:23
Bunuel wrote:
If √a + b = 8 and √a – √b = 0, what is a?

A 0
B 2
C 4
D 8
E 32

Experts can you please tell me is there any easy way at this.Is this approach the most apt one ??

If √a + b = 8 and √a – √b = 0

b = 8 - √a

a^{1/2} - [ 8 - a^{1/2} ]^{1/2} = 0

a^{1/2} - a^{1/4} = 2^{3/2}

I will go with E for this.
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If √a + b = 8 and √a – √b = 0, what is a?  [#permalink]

### Show Tags

23 Jan 2019, 08:36
KanishkM wrote:
Bunuel wrote:
If √a + b = 8 and √a – √b = 0, what is a?

A 0
B 2
C 4
D 8
E 32

Experts can you please tell me is there any easy way at this.Is this approach the most apt one ??

If √a + b = 8 and √a – √b = 0

b = 8 - √a

a^{1/2} - [ 8 - a^{1/2} ]^{1/2} = 0

a^{1/2} - a^{1/4} = 2^{3/2}

I will go with E for this.

I was unable to find an apt approach for this.
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Joined: 18 Jun 2018
Posts: 116
Location: United States (AZ)
Concentration: Finance, Healthcare
GPA: 3.86
Re: If √a + b = 8 and √a – √b = 0, what is a?  [#permalink]

### Show Tags

23 Jan 2019, 09:41
Bunuel Please check this question. I think there is a typo somehwere.

Thanks

Bunuel wrote:
If √a + b = 8 and √a – √b = 0, what is a?

A 0
B 2
C 4
D 8
E 32
Re: If √a + b = 8 and √a – √b = 0, what is a?   [#permalink] 23 Jan 2019, 09:41
Display posts from previous: Sort by