Precalculus Examples

$\sqrt{4 x^{2} + 4 y^{2}}$

Step 1

Factor $4$ out of $4 x^{2} + 4 y^{2}$ .

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Step 1.1

Factor $4$ out of $4 x^{2}$ .

$\sqrt{4 (x^{2}) + 4 y^{2}}$

Step 1.2

Factor $4$ out of $4 y^{2}$ .

$\sqrt{4 (x^{2}) + 4 (y^{2})}$

Step 1.3

Factor $4$ out of $4 (x^{2}) + 4 (y^{2})$ .

$\sqrt{4 (x^{2} + y^{2})}$

$\sqrt{4 (x^{2} + y^{2})}$

Step 2

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

$\sqrt{2^{2} (x^{2} + y^{2})}$

Step 3

Pull terms out from under the radical.

$2 \sqrt{x^{2} + y^{2}}$

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