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Math Help - Adding square roots (easy question)

  1. #1
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    Question Adding square roots (easy question)



    Can anyone explain to me what happened here?
    I understand that the 2 on the bottom is cause the denominator has to be the same, but I don't understand what happened on top.
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  2. #2
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    Hello.

    Quote Originally Posted by azurephantom View Post


    Can anyone explain to me what happened here?
    I understand that the 2 on the bottom is cause the denominator has to be the same, but I don't understand what happened on top.
    \sqrt{2} - 2 \sqrt{2} =1* \sqrt{2} - 2* \sqrt{2} = -1 \sqrt{2}. because

    1* \sqrt{2} - 2* \sqrt{2} = (1-2)*\sqrt{2} = (-1)*\sqrt{2}

    After that you can add the remaining '2' to (-1)*\sqrt{2}, because all these terms have the same denominator!

    This leads to - 1*\sqrt{2}+2 = -\sqrt{2}+2 on the top

    Yours
    Rapha
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  3. #3
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    \frac{\sqrt{2}}{2}-\frac{2\sqrt{2}}{2}+\frac{2}{2}

    =\frac{\sqrt{2}-2\sqrt{2}+2}{2}=\frac{-\sqrt{2}+2}{2}.
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