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6/√5-√5/5=?

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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6/√5-√5/5=?  [#permalink]

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New post 23 May 2019, 01:45
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:44) correct 14% (01:47) wrong based on 37 sessions

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[GMAT math practice question]

\(\frac{6}{√5}-\frac{√5}{5}=?\)

\(A. 1\)

\(B. -1\)

\(C. √5\)

\(D. -√5\)

\(E. 2√5\)

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Re: 6/√5-√5/5=?  [#permalink]

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New post 23 May 2019, 13:28
MathRevolution wrote:
[GMAT math practice question]

\(\frac{6}{√5}-\frac{√5}{5}=?\)

\(A. 1\)

\(B. -1\)

\(C. √5\)

\(D. -√5\)

\(E. 2√5\)



Let \(\frac{6}{√5}-\frac{√5}{5}=X\)

now multiply with \sqrt{5}

=> 6 - 1 = X\sqrt{5}
X = 5/\sqrt{5}
X = \sqrt{5}
Option C
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Re: 6/√5-√5/5=?  [#permalink]

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New post 24 May 2019, 01:34
6/(root 5) - (root 5)/5
(root 5)/(root 5)6/(root 5) - (root 5)/5
6(root5)/5 - (root 5)/5
(6(root 5) - (root 5))/5
5(root 5)/5 => (root 5)
Answer C

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6/√5-√5/5=?  [#permalink]

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New post 24 May 2019, 02:03
MathRevolution wrote:
[GMAT math practice question]

\(\frac{6}{√5}-\frac{√5}{5}=?\)

\(A. 1\)

\(B. -1\)

\(C. √5\)

\(D. -√5\)

\(E. 2√5\)



\(\frac{6}{√5}-\frac{√5}{5}\)
= \(\frac{(6√5-√5)}{5}\)
= \(\frac{5√5}{5}\)
= √5. C is the answer.

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Joined: 16 Aug 2015
Posts: 7471
GMAT 1: 760 Q51 V42
GPA: 3.82
6/√5-√5/5=?  [#permalink]

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New post 26 May 2019, 18:42
=>

\(\frac{6}{\sqrt{5}}-\frac{√5}{5}\)
\(= \frac{6√5}{√5√5}-\frac{√5}{5}\)
\(= \frac{6√5}{5}-\frac{√5}{5}\)
\(= \frac{5√5}{5} =√5\)

Therefore, the answer is C.
Answer: C
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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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"Free Resources-30 day online access & Diagnostic Test"
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6/√5-√5/5=?   [#permalink] 26 May 2019, 18:42
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