How do you solve #x^4=8#?

1 Answer
Alan P.
May 17, 2016

#x=+-root(4)(8)#

Explanation:

Note there is no "pretty" version of this solution.

As an alternate expression:
#color(white)("XXX")x^4=8#

#color(white)("XXX")rarr x^2=sqrt(8)=2sqrt(2)#

#color(white)("XXX")rarr x=+-sqrt(2sqrt(2))#

...but this is really just the same as #root(4)(8)#

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