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Math Help - How can I simplify this a step further?

  1. #1
    Junior Member
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    How can I simplify this a step further?

    I was supposed to simplify this:

    6+ √2
    _____
    3-
    √2

    I multiplied both the top and bottom by the conjugate of the denominator and got:

    18+9
    √2+√4
    ________
    9-
    √4

    What would I need to do to simplify that a step further? It doesn't seem completely simplified?



    EDIT: I THINK I MESSED UP ON THE BOTTOM HALF.

    I think my final answer should actually be:

    18+9√2+√4
    _________
    7


    Is that right?
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  2. #2
    Member Glaysher's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    EDIT: I THINK I MESSED UP ON THE BOTTOM HALF.

    I think my final answer should actually be:

    [/SIZE] 18+9√2+√4
    _________
    7


    Is that right?
    Yes but it can be simplified a bit more as you still have a √4
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  3. #3
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    Quote Originally Posted by Glaysher View Post
    Yes but it can be simplified a bit more as you still have a √4
    OOH, DUH!

    so, 20+9√2
    ________
    7
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  4. #4
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    I think my final answer should actually be:

    18+9√2+√4
    _________
    7


    Remember, expressions like \frac a{\sqrt x-\sqrt y} are fully simplified, multiplying (numerator and denominator) by the conjugated expression of the denominator.
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  5. #5
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    Quote Originally Posted by Krizalid View Post


    Remember, expressions like \frac a{\sqrt x-\sqrt y} are fully simplified, multiplying (numerator and denominator) by the conjugated expression of the denominator.

    ?? did you see my new answer?

    or did i miss something again?
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  6. #6
    Math Engineering Student
    Krizalid's Avatar
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    Yes, I did.

    The means that is okay.
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  7. #7
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    Quote Originally Posted by Krizalid View Post
    Yes, I did.

    The means that is okay.

    OOOH ok
    haha thanks ;-)
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