Lösung 3.1:5d

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We can get rid of both square roots in the denominator if we multiply the top and bottom of the fraction by the conjugate expression \displaystyle \sqrt{17}+\sqrt{13}, and use the difference of two squares

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with \displaystyle a=\sqrt{17} and \displaystyle b=\sqrt{13}. Both roots are squared away and we get

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This expression cannot be simplified any further because neither 17 nor 13 contain any squares as factors.