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30 Mar 2017, 02:23
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:21) correct
31%
(01:38)
wrong
based on 598
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following is equivalent to √3+√2?
A. \(√5\)
B. \(\sqrt{5+2√6}\)
C. \(\sqrt{6+2√5}\)
D. \(\sqrt{5-2√6}\)
E. \(\sqrt{5+4√6}\)
A. \(√5\)
B. \(\sqrt{5+2√6}\)
C. \(\sqrt{6+2√5}\)
D. \(\sqrt{5-2√6}\)
E. \(\sqrt{5+4√6}\)
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 192
Given Kudos: 59
Location: India
Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
30 Mar 2017, 02:29
Kudos
Bookmarks
MathRevolution
let x = √3+√2 ------------------I
on squaring both sides,
\(x^2 = (√3+√2)^2\)
\(x^2 = (√3)^2 + (√2)^2 + 2*(√3√2)\)
\(x^2 = 3 + 2 + 2√6\)
\(x^2 = 5 + 2√6\)
taking square root on both sides
x = \(\sqrt{5+2√6}\)
√3+√2 = \(\sqrt{5+2√6}\) (from I)
Hence option B is correct
Hit Kudos if you liked it
General Discussion
30 Mar 2017, 11:58
Kudos
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MathRevolution
√3+√2=1.73+1.41=3.14
A quick look tells us that only B and C are close.
25^2=625. so sqrt(6) is approx 2.4; hence B=5+4.8=9.8
C=6+2*2.2>10.4
B is closer to our 3.14^2
