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Math Help - [SOLVED] Help! - Simplification

  1. #1
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    [SOLVED] Help! - Simplification

    Hello!

    I would really appreciate some help, I need to simplify these;


    x + √x
    ------- (I know that this one is √x, but how does it get to that?)
    1 + √x


    and;


    x
    ------- + √(1-x)
    √(1-x)



    and;



    1 - x
    -------
    1 + √x



    Thank you!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by weasley74 View Post
    Hello!

    I would really appreciate some help, I need to simplify these;


    x + √x
    ------- (I know that this one is √x, but how does it get to that?)
    1 + √x
    factor out \sqrt{x} from the numerator:

    we get: \frac {\sqrt{x} (\sqrt{x} + 1)}{1 + \sqrt{x}}

    now continue


    and;


    x
    ------- + √(1-x)
    √(1-x)
    begin by combining the fractions. then what would you get?

    and;
    1 - x
    -------
    1 + √x
    Thank you!
    think of 1 - x as 1^2 - (\sqrt{x})^2

    now expand that using the difference of two squares. what do you get?
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  3. #3
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    Thank you - for not really telling me the answers but instead giving me just enough hints to work it out for myself. ;D

    Thanks again.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by weasley74 View Post
    Thank you - for not really telling me the answers but instead giving me just enough hints to work it out for myself. ;D

    Thanks again.
    you're very much welcome
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