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How do you simplify #sqrt (x^4)#?

1 Answer

A. S. Adikesavan

Apr 4, 2016

#+-x^2#

Explanation:

#a^(1/N)# has N values that are the roots of #a^N=1#

The roots might include complex values that occur in conjugate pairs.

Very briefly, #sqrt1=+-1#.
#sqrt(x^4) = (x^4)^(1/2)# has two values #+-x^2#.
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