Algebra Examples

$\sqrt[3]{\sqrt{64}}$

Step 1

Rewrite $64$ as $8^{2}$ .

$\sqrt[3]{\sqrt{8^{2}}}$

Step 2

Pull terms out from under the radical.

$\sqrt[3]{| 8 |}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$\sqrt[3]{8}$

Step 4

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3}}$

Step 5

Pull terms out from under the radical.

$2$