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Math Help - Help with rationalizing expressions

  1. #1
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    Help with rationalizing expressions

    I need help with a couple of rationalization questions. I am totally confused.

    square root 5x minus 6 / squareroot 5x plus 3


    (squareroot 2+y plus squareroot 2-y)/y
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  2. #2
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    Quote Originally Posted by shiel8 View Post
    I need help with a couple of rationalization questions. I am totally confused.

    square root 5x minus 6 / squareroot 5x plus 3


    (squareroot 2+y plus squareroot 2-y)/y
    Is it

    (1) \frac{\sqrt{5x-6}}{\sqrt{5x+3}} ?

    or

    (2) \frac{\sqrt{5x}-6}{\sqrt{5x}+3}

    Also group what's under the radical in your second problem as well.
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  3. #3
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    for the second questions it's 2+y under squareroot symbol minus 2-y under squareroot symbol all over y

    how do you enter info in the format you're using? It'd be much easier to post if I knew how to do that.
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  4. #4
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    Quote Originally Posted by shiel8 View Post



    for the second questions it's 2+y under squareroot symbol minus 2-y under squareroot symbol all over y

    how do you enter info in the format you're using? It'd be much easier to post if I knew how to do that.

    Have a look here: http://www.mathhelpforum.com/math-he...-tutorial.html
    Use a factor such that you get a sum of squares in the denominator:

    \dfrac{\sqrt{5x} - 6}{\sqrt{5x} + 3}=\dfrac{\sqrt{5x} - 6}{\sqrt{5x} + 3} \cdot \dfrac{\sqrt{5x} - 3}{\sqrt{5x} - 3}= \dfrac{5x-9\sqrt{5x} +18}{5x-9}
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  5. #5
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    Thanks Earboth.

    Hopefully this works right. The other question I need help with is:

    \frac{\sqrt{2+y} + \sqrt{2-y}}{y}
    Last edited by shiel8; December 3rd 2008 at 11:36 AM. Reason: fixing latex
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