Precalculus Examples

$\sqrt[4]{48} - \sqrt[4]{3}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $48$ as $2^{4} \cdot 3$ .

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Step 1.1.1

Factor $16$ out of $48$ .

$\sqrt[4]{16 (3)} - \sqrt[4]{3}$

Step 1.1.2

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot 3} - \sqrt[4]{3}$

$\sqrt[4]{2^{4} \cdot 3} - \sqrt[4]{3}$

Step 1.2

Pull terms out from under the radical.

$2 \sqrt[4]{3} - \sqrt[4]{3}$

$2 \sqrt[4]{3} - \sqrt[4]{3}$

Step 2

Subtract $\sqrt[4]{3}$ from $2 \sqrt[4]{3}$ .

$\sqrt[4]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[4]{3}$

Decimal Form:

$1.31607401 \dots$

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