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Math Help - surds

  1. #1
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    surds

    express \frac{16+\frac{2\sqrt{18}}{2}}{2+\frac{6}{\sqrt{2}  }} \divide 2
    in the form a+b\sqrt{2} where a and b are integers
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  2. #2
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    Quote Originally Posted by Punch View Post
    express \frac{16+\frac{2\sqrt{18}}{2}}{2+\frac{6}{\sqrt{2}  }} \divide 2
    in the form a+b\sqrt{2} where a and b are integers
    You can start by simplifying the denominator.

    Combine the fraction to get \frac{2(\sqrt{2}+3)}{\sqrt{2}}

    Then simplify it and you are left with 2+3\sqrt{2}
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  3. #3
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    okay... i rationalised and am stucked @ \frac{14-(\frac{84}{\sqrt{2}})}{-14}
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  4. #4
    MHF Contributor Unknown008's Avatar
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    Yes, you're almost done, except that you did a mistake.

    I got:

    \HUGE{\frac{14-\frac{42}{\sqrt{2}}}{-14}}

    Remember that:

    \frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}
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