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Math Help - hopefully a quick surd question

  1. #1
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    hopefully a quick surd question

    ok this question hopefully will not take long, I do not understand this question at all.

    Express 3+2√75/
    3-√12

    in the form a+b√3 where a,b e(the symbol meaning is a member of in replace of the e) R\{0}
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Ok to do this

    first off please be more careful with how you denote things...I am assuming your question is simplify \frac{3+2(75)^{\frac{1}{2}}}{3-(12)^{\frac{1}{2}}}if so what you must first do is simplfiy the radicals since (75)^{\frac{1}{2}}=(3*5^2)^{\frac{1}{2}} you can rewrite it as 5(3)^{\frac{1}{2}} and using the same method (12)^{\frac{1}{2}}=2(3)^{\frac{1}{2}} so this whole thing is equal to \frac{3+10(3)^{\frac{1}{2}}}{3-2(3)^{\frac{1}{2}}} now I am sure you can go from there...ill tell you the answer its -12(3)^{\frac{1}{2}}-23
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  3. #3
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    Smile

    Mathstud- yes it is right, it looks different to what I thought it would be nontheless is works so many thanks for your help.
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  4. #4
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    Unhappy

    ah, now ive just stumbled upon another insane surd question. This one is much easier to read.

    (√a+√b)=a+b+2√ab

    determine the square root of 17+6√8


    I hope you can help,
    thanks.
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  5. #5
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    Quote Originally Posted by glenn101 View Post
    ah, now ive just stumbled upon another insane surd question. This one is much easier to read.

    (√a+√b)=a+b+2√ab

    determine the square root of 17+6√8


    I hope you can help,
    thanks.
    Answered in the thread http://www.mathhelpforum.com/math-he...256-surds.html
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