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Math Help - [SOLVED] Okay I can't simplify this for the life of me

  1. #1
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    [SOLVED] Okay I can't simplify this for the life of me

    5 - 3 / square root of 3

    I'm unable to simplify this, at all!!!! Please help.
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  2. #2
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    Quote Originally Posted by thekrown View Post
    5 - 3 / square root of 3

    I'm unable to simplify this, at all!!!! Please help.
    5 - \frac{3}{\sqrt{3}} = 5 - \sqrt{3}
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  3. #3
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    This should probably go in the algebra section.

    5 - \frac{3}{\sqrt{3}} = 5 - \sqrt{3}
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    It's for my calculus class. I have to find derivatives and simplify them. You guys gave me the answer and I thank you for that, but I don't see how you got there.
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  5. #5
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    any number divided by its square root is its square root.

    in other symbols ... \frac{x}{\sqrt{x}} = \sqrt{x}
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  6. #6
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    \frac{3}{\sqrt{3}} = \frac{3}{3^{1/2}} = 3^{1-1/2} = 3^{1/2} = \sqrt{3}
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  7. #7
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    2(2)=4,\ 2^2=4,\ \sqrt{4}\sqrt{4}=4

    3(3)=9,\ 3^2=9,\ \sqrt{9}\sqrt{9}=9

    \sqrt{3}\sqrt{3}=(\sqrt{3})^2=3

    therefore,

    \frac{3}{\sqrt{3}}=\frac{\sqrt{3}\sqrt{3}}{\sqrt{3  }}=\sqrt{3}\left(\frac{\sqrt{3}}{\sqrt{3}}\right)=  \sqrt{3}(1)=\sqrt{3}
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  8. #8
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    *smacks forehead* of course. Thank you all.
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