Algebra Examples

$\sqrt{\sqrt[4]{256 z^{8}}}$

Step 1

Rewrite $256 z^{8}$ as ${(4 z^{2})}^{4}$ .

$\sqrt{\sqrt[4]{{(4 z^{2})}^{4}}}$

Step 2

Pull terms out from under the radical.

$\sqrt{| 4 z^{2} |}$

Step 3

Remove non-negative terms from the absolute value.

$\sqrt{4 z^{2}}$

Step 4

Rewrite $4 z^{2}$ as ${(2 z)}^{2}$ .

$\sqrt{{(2 z)}^{2}}$

Step 5

Pull terms out from under the radical.

$| 2 z |$

Step 6

Remove non-negative terms from the absolute value.

$2 | z |$