Precalculus Examples

$\sqrt{9 x^{2} + 9}$

Step 1

Factor $9$ out of $9 x^{2} + 9$ .

Tap for more steps...

Step 1.1

Factor $9$ out of $9 x^{2}$ .

$\sqrt{9 (x^{2}) + 9}$

Step 1.2

Factor $9$ out of $9$ .

$\sqrt{9 (x^{2}) + 9 (1)}$

Step 1.3

Factor $9$ out of $9 (x^{2}) + 9 (1)$ .

$\sqrt{9 (x^{2} + 1)}$

Step 2

Rewrite $9 (x^{2} + 1)$ as $3^{2} (x^{2} + 1^{2})$ .

Tap for more steps...

Step 2.1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} (x^{2} + 1)}$

Step 2.2

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

$\sqrt{3^{2} (x^{2} + 1^{2})}$

Step 3

Pull terms out from under the radical.

$3 \sqrt{x^{2} + 1^{2}}$

Step 4

One to any power is one.

$3 \sqrt{x^{2} + 1}$