What is #root5 (-96)#?

1 Answer
George C.
Mar 19, 2016

#root(5)(-96) = -2root(5)(3) ~~ 2.491461879#

Explanation:

#5#th roots can be simplified if you can find any #5#th power factors of the radicand. In our example, the radicand has a #5#th power factor #-32 = (-2)^5#...

#root(5)(-96) = root(5)((-2)^5*3) = root(5)((-2)^5)root(5)(3) = -2 root(5)(3)#

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