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

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

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New post 22 Jan 2019, 00:14
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

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

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

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New post 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.

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

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

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New post 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.


Bunuel Can you please share your thoughts on 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.

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

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New post 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
GMAT Club Bot
Re: If √a + b = 8 and √a – √b = 0, what is a?   [#permalink] 23 Jan 2019, 09:41
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