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  • Mar 28, 2009, 03:28 AM
    ROLCAM
    Mathematics for fun.
    Is it possible to find a number with a negative cube root and a positive square root?
  • Mar 28, 2009, 05:21 PM
    galactus
    No, not in the real numbers.

    Because a negative number has a negative cube root and a positive number has a positive square root.
  • Mar 28, 2009, 09:07 PM
    ROLCAM

    galactus,

    PLEASE CONSIDER THESE FIGURES:-

    Positive and negative cube roots and cubes.

    1 -1 1 -1
    2 -2 8 -8
    3 -3 27 -27
    4 -4 64 -64
    5 -5 125 -125
    6 -6 216 -216
    7 -7 343 -343
    8 -8 512 -512
    9 -9 729 -729
    10 -10 1,000 -1,000


    ____________________________________

    Positive square roots and squares.

    1 1
    2 4
    3 9
    4 16
    5 25
    6 36
    7 49
    8 64
    9 81
    10 100

    ______________________________________

    1) Consider -64 in the first batch = negative
    cube root = -4
    2) Consider 64 in the second batch =
    pistive square root = 8

    Conclusion the number is 64.
  • Mar 29, 2009, 06:12 AM
    galactus

    Oh, I misunderstood what you meant. -64 and 64 are not the same number. I see what you were getting at.

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