Precalculus Examples

$\sqrt{144 + 400}$

Step 1

Add $144$ and $400$ .

$\sqrt{544}$

Step 2

Rewrite $544$ as $4^{2} \cdot 34$ .

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Step 2.1

Factor $16$ out of $544$ .

$\sqrt{16 (34)}$

Step 2.2

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

$\sqrt{4^{2} \cdot 34}$

$\sqrt{4^{2} \cdot 34}$

Step 3

Pull terms out from under the radical.

$4 \sqrt{34}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{34}$

Decimal Form:

$23.32380757 \dots$

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