Algebra Examples

$\sqrt{4 x + 4}$

Step 1

Factor $4$ out of $4 x + 4$ .

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Step 1.1

Factor $4$ out of $4 x$ .

$\sqrt{4 (x) + 4}$

Step 1.2

Factor $4$ out of $4$ .

$\sqrt{4 (x) + 4 (1)}$

Step 1.3

Factor $4$ out of $4 (x) + 4 (1)$ .

$\sqrt{4 (x + 1)}$

$\sqrt{4 (x + 1)}$

Step 2

Rewrite $4 (x + 1)$ as $2^{2} (x + 1^{2})$ .

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Step 2.1

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

$\sqrt{2^{2} (x + 1)}$

Step 2.2

Rewrite $1$ as $1^{2}$ .

$\sqrt{2^{2} (x + 1^{2})}$

$\sqrt{2^{2} (x + 1^{2})}$

Step 3

Pull terms out from under the radical.

$2 \sqrt{x + 1^{2}}$

Step 4

One to any power is one.

$2 \sqrt{x + 1}$

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