Knaereh Knaereh

26-09-2018
Mathematics

contestada

Find a indicated real nth root(s)a.
n=9, a=-512

The root is = ?

Respuesta :

mathmate mathmate

26-09-2018

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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