Basic Math Examples

\sqrt[6]{8}

$\sqrt[6]{8}$

Step 1

Rewrite

8

$8$ as

2^{3}

$2^{3}$ .

\sqrt[6]{2^{3}}

$\sqrt[6]{2^{3}}$

Step 2

Rewrite

\sqrt[6]{2^{3}}

$\sqrt[6]{2^{3}}$ as

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

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

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

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

Step 3

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

\sqrt{2}

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\sqrt{2}

$\sqrt{2}$

Decimal Form:

1.41421356 \dots

$1.41421356 \dots$

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

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