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Of the following integers which is the closest approximation

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Of the following integers which is the closest approximation [#permalink] New post 14 May 2010, 08:34
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56% (01:24) correct 43% (00:19) wrong based on 46 sessions
Of the following integers, which is the closest approximation to (\sqrt{2} + \sqrt{5})^2?

A. 7
B. 10
C. 13
D. 15
E. 17
[Reveal] Spoiler: OA

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Re: Roots [#permalink] New post 15 May 2010, 03:05
vannbj wrote:
Of the following integers, which is the closest approximation to (\sqrt{2} + \sqrt{5})^2?

7
10
13
15
17

How do you do this without a calculator?


(\sqrt{2} + \sqrt{5})^2=2+2*\sqrt{2}*\sqrt{5}+5=7+2\sqrt{10} --> \sqrt{10}\approx{3} --> 7+2\sqrt{10}\approx{7+6}=13

Answer: C.
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Numbers [#permalink] New post 23 Apr 2013, 01:14
Of the following integers what is the closest approximation to ( squareroot 2 + squareroot 5 )^ 2 ?

1.7
2.10
3.13
4.15
5.17
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Re: Numbers [#permalink] New post 23 Apr 2013, 01:35
(a+b)^2=(2+5+2\sqrt{10})=2+5+2*3=13

C
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Re: Numbers [#permalink] New post 23 Apr 2013, 04:48
kabilank87 wrote:
Of the following integers what is the closest approximation to ( squareroot 2 + squareroot 5 )^ 2 ?

1.7
2.10
3.13
4.15
5.17


Merging similar topics.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3. Thank you.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


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Re: Numbers   [#permalink] 23 Apr 2013, 04:48
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