can someone check my radical problems

Discussion in 'Homework Help' started by zelda1850, Nov 11, 2010.

  1. zelda1850

    Thread Starter New Member

    Jan 3, 2010
    18
    0
    anyone mind checking it

    1) 3\sqrt[6]{3} - 2\sqrt[6]{192} - 6\sqrt[6]{320} = -3\sqrt[6]{3} - 4\sqrt{3} - 2\sqrt{5} = \sqrt[6]{3} + 2\sqrt{5}

    2) \sqrt[3]{320} - 4\sqrt[3]{5} + 2\sqrt[3]{135} + 2\sqrt[3]{16} = -4\sqrt{5} - 4\sqrt[3]{5} + 6\sqrt{5} + 4\sqrt{2} =
    6\sqrt[3]{5} + 4\sqrt{2}

    3)2\sqrt[3]{6} - \sqrt[6]{6} + 3\sqrt[3]{6}
    - 3\sqrt[6]{384} = 2\sqrt[3]{6} - \sqrt[6]{6} + 3\sqrt[3]{6} - 6\sqrt{6}
     
  2. someonesdad

    Senior Member

    Jul 7, 2009
    1,585
    141
    You can check the results with a calculator -- or type things in at a python prompt:

    >>> 3*3**(1./6) - 2*192**(1./6) - 6*320**(1./6)
    -16.89286278731797

    (You don't need the decimal points after the 1's if you're using python 3.x.)

    Your first problem has an error, as your last expression can't be negative.
     
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