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Math Help - Expressing surds into a form

  1. #1
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    Expressing surds into a form

    Express (\frac{1}{\sqrt{10}} - \frac{\sqrt{40}}{3}) \times \frac{45}{\sqrt{5}} in the form a\sqrt{2}, where a is a constant.
    I can't seem to get the correct answer that is -\frac{51}{2}\sqrt{2}
    My working:

    (excuse the lack of latex please )

    Any help would be greatly appreciated, thanks in advance!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by caramelcake View Post
    I can't seem to get the correct answer that is -\frac{51}{2}\sqrt{2}
    My working:

    (excuse the lack of latex please )

    Any help would be greatly appreciated, thanks in advance!
    in the line with the second equal sign, 20/30 should be \frac {20 \sqrt{10}}{30}
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  3. #3
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    Thanks

    Thank you! I can get the answer now.
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