First of all we would break 256 into its simple factors.
2 / 256
2 / 128
2 / 64
2 / 32
2 / 16
2 / 8
2 / 4
2 / 2
1.
Therefore 256 = 2 2 2 2 2 2 2 *2
Therefore sixth root of 256 = \(\sqrt[6]{2*2*2*2*2*2*2*2}\)
For every six 2s we bring out one out of the root.
= \(2\sqrt[6]{2*2}\)
= \(2\sqrt[6]{4}\)
That's our answer.
