Question

Find all the real fourth roots of 256.


4
-8 and 8
8
-4 and 4

Answer 1

256 = 16^2.  In turn, 16=4^2.

The 4th roots are {4, 4, -4 and -4}.

Check for yourself:  Does 4^4= 256?  does (-4)^4 = 256?