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3 June, 09:13

Find a indicated real nth root (s) a.

n=9, a=-512

The root is = ?

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Answers (1)
  1. 3 June, 09:16
    0
    We know that 512=2^9, which implies that (-2) ^9=-512 (since 9 is odd). Thus - 2 is one of the 9th root of - 512.

    There are 8 (or 4 pairs of) other roots that are excluded because they are complex.

    Therefore - 2 is the only real 9th root of - 512.
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