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Math Help - Basic Arithmetic and Surds

  1. #1
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    Basic Arithmetic and Surds

    Simplify a^2 +1/a with a rational denominator where a= root5 -1 showing full working. Please if anyone can help, it would be great.
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  2. #2
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    Re: Basic Arithmetic and Surds

    Alice

    Multiply the numerator and the denominator of the fraction by (a+1) then follow the algebraic rules of multiplication and you will get the result you want.
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  3. #3
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    Re: Basic Arithmetic and Surds

    But that won't work it is a^2 + (separate term) 1/a
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  4. #4
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    Re: Basic Arithmetic and Surds

    Alice our purpose is to eliminate the surds from the denominator...
    if you have a^2 alone and then 1/a a fraction alone then no problem multiply the fraction only by (root5 +1) (num +denom) and then expand a^2 and add them all together
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  5. #5
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    Re: Basic Arithmetic and Surds

    Basic Arithmetic and Surds-rational.png
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