Precalculus Examples

$\sqrt{48}$

Step 1

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

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Step 1.1

Factor $16$ out of $48$ .

$\sqrt{16 (3)}$

Step 1.2

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

$\sqrt{4^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{3}$

Decimal Form:

$6.92820323 \dots$

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