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(√11 + √11 + √11)^2 =

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vikasp99
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(√11 + √11 + √11)^2 = [#permalink] New post   26 Feb 2017, 20:21
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Question Stats:

80% (00:33) correct 20% (00:33) wrong based on 166 sessions
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(√11 + √11 + √11)^2 =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33
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C
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   26 Feb 2017, 20:35
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vikasp99 wrote:
\((√11 + √11 + √11)^2\) =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33


\((√11 + √11 + √11)^2\) = \((3\sqrt{11})^{2}\) = \(3^2*11\)=\(99\)
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   19 Jun 2017, 09:00
vikasp99 wrote:
(√11 + √11 + √11)^2 =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33


We can simply put the square roots in this question into exponent form- this will make things must easier

11^1/2 + 11^1/2 + 11^1/2 =
[3(11)^1/2]^2

3^2 x 11
9 *11 = 99

Thus
"C"
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   20 Jun 2018, 04:20
hazelnut wrote:
vikasp99 wrote:
\((√11 + √11 + √11)^2\) =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33


\((√11 + √11 + √11)^2\) = \((3\sqrt{11})^{2}\) = \(3^2*11\)=\(99\)


I am confused. I got 33. What am I missing?

\((√11 + √11 + √11)\) = \(√33\) right? Do the parenthesis first, then the exponent. \(√33^2\)=33
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   20 Jun 2018, 04:31
Expert Reply
msurls wrote:
hazelnut wrote:
vikasp99 wrote:
\((√11 + √11 + √11)^2\) =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33


\((√11 + √11 + √11)^2\) = \((3\sqrt{11})^{2}\) = \(3^2*11\)=\(99\)


I am confused. I got 33. What am I missing?

\((√11 + √11 + √11)\) = \(√33\) right? Do the parenthesis first, then the exponent. \(√33^2\)=33


Let me ask you what does x + x + x equal to? 3x, right? The same way, \(√11 + √11 + √11=3\sqrt{11}\). You would be right if it were \(\sqrt{11 + 11 +11}=\sqrt{33}\).

Does this make sense?
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   20 Jun 2018, 07:15
Yep, that makes perfect sense. Thanks Bunuel. I see I did not know the \(\sqrt{a}\)+\(\sqrt{b}\) \(\neq\) \(\sqrt{a+b}\) rule from GMATclub book.
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Re: (√11 + √11 + √11)^2 = [#permalink] New post   21 Jun 2018, 17:05
Expert Reply
vikasp99 wrote:
(√11 + √11 + √11)^2 =

(A) 363
(B) 121
(C) 99
(D) 66
(E) 33


(√11 + √11 + √11)^2

(3√11)^2 = 3^2 x 11 = 99

Answer: C
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Re: (11 + 11 + 11)^2 = [#permalink] New post   14 Sep 2023, 17:27
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Re: (11 + 11 + 11)^2 = [#permalink]
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