Algebra Examples

\sqrt[3]{\sqrt[2]{64}}

$\sqrt[3]{\sqrt[2]{64}}$

Step 1

Rewrite

64

$64$ as

8^{2}

$8^{2}$ .

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

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

Step 2

Pull terms out from under the radical, assuming positive real numbers.

\sqrt[3]{8}

$\sqrt[3]{8}$

Step 3

Rewrite

8

$8$ as

2^{3}

$2^{3}$ .

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

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

Step 4

Pull terms out from under the radical, assuming real numbers.

2

$2$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$