Basic Math Examples

$\frac{\sqrt[6]{\sqrt{m}}}{\sqrt{4 \sqrt[6]{m}}}$

Step 1

Rewrite $\sqrt[6]{\sqrt{m}}$ as $\sqrt[12]{m}$ .

$\frac{\sqrt[12]{m}}{\sqrt{4 \sqrt[6]{m}}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt[12]{m}}{\sqrt{2^{2} \sqrt[6]{m}}}$

Step 2.2

Pull terms out from under the radical.

$\frac{\sqrt[12]{m}}{2 \sqrt{\sqrt[6]{m}}}$

Step 2.3

Rewrite $\sqrt{\sqrt[6]{m}}$ as $\sqrt[12]{m}$ .

$\frac{\sqrt[12]{m}}{2 \sqrt[12]{m}}$

$\frac{\sqrt[12]{m}}{2 \sqrt[12]{m}}$

Step 3

Cancel the common factor of $\sqrt[12]{m}$ .

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Step 3.1

Cancel the common factor.

$\frac{\sqrt[12]{m}}{2 \sqrt[12]{m}}$

Step 3.2

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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