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Math Help - [SOLVED] simplification problem

  1. #1
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    [SOLVED] simplification problem

    I ran into this issue with a trig identity, but the part I'm curious about is really just algebra, so I hope this is the right place for it.

    At any rate, after doing the appropriate calculations I ended up with a formula of
    -\sqrt{3-2\sqrt{2}}

    the book, however, lists the answer as
    1-\sqrt{2}

    The two are equivalent, I'm just curious as to the mechanism of converting from one to the other. Can someone explain it to me, if possible?
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  2. #2
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    Quote Originally Posted by satis View Post
    I ran into this issue with a trig identity, but the part I'm curious about is really just algebra, so I hope this is the right place for it.

    At any rate, after doing the appropriate calculations I ended up with a formula of
    -\sqrt{3-2\sqrt{2}}

    the book, however, lists the answer as
    1-\sqrt{2}

    The two are equivalent, I'm just curious as to the mechanism of converting from one to the other. Can someone explain it to me, if possible?
    -\sqrt{3 - 2\sqrt{2}}

    -\sqrt{2 - 2\sqrt{2} + 1}

    -\sqrt{(\sqrt{2} - 1)^2}

    -|\sqrt{2}-1|

    1 - \sqrt{2}
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  3. #3
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    ah, it's just a matter of factoring it. Thank you, totally missed that.
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