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Math Help - square root question

  1. #1
    Newbie
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    Jan 2009
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    square root question

    Good Day,

    Just wanted to ensure i did this question correctly, the question was to write the problem below in standard form. If incorrect any help to solve this question would be appreciated.



    thanks in advance
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, netlab!

    Your steps seem to be okay, but that \sqrt{1} is unnecessary.


    5\sqrt{\text{-}16} \:+ \:3\sqrt{\text{-}81}

    . . = \;5\sqrt{(16)(\text{-}1)} \:+ \:3\sqrt{(81)(\text{-}1)}

    . . = \;5\!\cdot\!\sqrt{16}\!\cdot\!\sqrt{\text{-}1} \:+ \:3\!\cdot\!\sqrt{81}\!\cdot\!\sqrt{\text{-}1}

    . . = \;5\!\cdot\!4\!\cdot\!i \:+\: 3\!\cdot\!9\!\cdot\!i

    . . =\;\;20i + 27i \;\;=\;\;\boxed{47i}

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  3. #3
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    Ok, thanks a lot for your help
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