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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
(2^(1/2) + 5^(1/)^2. Which of the following is the best approximation?
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26 Nov 2022, 02:44
26 Nov 2022, 02:44
1
Expert Reply
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Question Stats:
66% (00:53) correct
33% (00:29) wrong based on 3 sessions
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\((\sqrt{2}+\sqrt{5})^2\) which of the following is the best approximation?
A. 7
B. 10
C. 13
D. 15
E. 17
A. 7
B. 10
C. 13
D. 15
E. 17
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: (2^(1/2) + 5^(1/)^2. Which of the following is the best approximation?
[#permalink]
27 Nov 2022, 20:54
27 Nov 2022, 20:54
1
Expert Reply
\((a+b)^2=a^2+2ab+b^2\), thus \((\sqrt{2}+\sqrt{5})^2=2+2*\sqrt{2}*\sqrt{5}+5=7+2\sqrt{10}\).
Now, \(3^2=9\), so \(\sqrt{10}\) is a little bit greater than 3, which means that \(7+2\sqrt{10}\approx{7+2*3}=13\).
Answer: C
Now, \(3^2=9\), so \(\sqrt{10}\) is a little bit greater than 3, which means that \(7+2\sqrt{10}\approx{7+2*3}=13\).
Answer: C
gmatclubot
Re: (2^(1/2) + 5^(1/)^2. Which of the following is the best approximation? [#permalink]
27 Nov 2022, 20:54
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