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Math Revolution GMAT Instructor
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Which of the following is equivalent to √3+√2?
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30 Mar 2017, 02:23
30 Mar 2017, 02:23
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32%
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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. \(\sqrt{5+4√6}\)
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Re: Which of the following is equivalent to √3+√2?
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30 Mar 2017, 02:29
30 Mar 2017, 02:29
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MathRevolution wrote:
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. \(\sqrt{5+4√6}\)
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
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General Discussion
Re: Which of the following is equivalent to √3+√2?
[#permalink]
30 Mar 2017, 11:58
30 Mar 2017, 11:58
MathRevolution wrote:
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. \(\sqrt{5+4√6}\)
√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
