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the value of 1/ [√ (2 x) + √x]?

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sanju09 GMAT Instructor
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the value of 1/ [√ (2 x) + √x]? Post Fri Mar 23, 2012 4:12 am
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  • Lap #[LAPCOUNT] ([LAPTIME])
    If x > 0, then what is the value of 1/ [√ (2 x) + √x]?
    A. 1/√ (3 x)
    B. 1/ [2 √ (2 x)]
    C. 1/ (x √2)
    D. (√2 - 1)/ √x
    E. (1 + √2)/ √x

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    mrinal85k Just gettin' started! Default Avatar
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    Post Fri Mar 23, 2012 4:24 am
    Answer should be E[/list]

    killer1387 GMAT Destroyer! Default Avatar
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    Post Fri Mar 23, 2012 4:55 am
    sanju09 wrote:
    If x > 0, then what is the value of 1/ [√ (2 x) + √x]?
    A. 1/√ (3 x)
    B. 1/ [2 √ (2 x)]
    C. 1/ (x √2)
    D. (√2 - 1)/ √x
    E. (1 + √2)/ √x
    IMO D

    ubhanja Just gettin' started! Default Avatar
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    Post Fri Mar 23, 2012 10:09 am
    1/ [√ (2 x) + √x]= 1/√X(√2+1)=(√2-1)/√X(√2+1)(√2-1)=(√2-1)/√X

    imo d

    sanju09 GMAT Instructor
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    Post Sat Mar 24, 2012 2:31 am
    ubhanja wrote:
    1/ [√ (2 x) + √x]= 1/√X(√2+1)=(√2-1)/√X(√2+1)(√2-1)=(√2-1)/√X

    imo d
    perfect

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    seal4913 Really wants to Beat The GMAT! Default Avatar
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    Post Sat Mar 24, 2012 12:44 pm
    ubhanja wrote:
    1/ [√ (2 x) + √x]= 1/√X(√2+1)=(√2-1)/√X(√2+1)(√2-1)=(√2-1)/√X

    imo d
    Please explain why/how you are getting (√2-1).

    pemdas GMAT Titan Default Avatar
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    Post Sat Mar 24, 2012 6:31 pm
    seal4913 wrote:
    ubhanja wrote:
    1/ [√ (2 x) + √x]= 1/√X(√2+1)=(√2-1)/√X(√2+1)(√2-1)=(√2-1)/√X

    imo d
    Please explain why/how you are getting (√2-1).
    there's minor issue, and selected expression must be read as (√2-1)(√2+1)/√X(√2+1)

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