Calculus Examples

$\sqrt{6 x^{2}} + x \sqrt{54}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Reorder $6$ and $x^{2}$ .

$\sqrt{x^{2} \cdot 6} + x \sqrt{54}$

Step 1.2

Pull terms out from under the radical.

$x \sqrt{6} + x \sqrt{54}$

Step 1.3

Rewrite $54$ as $3^{2} \cdot 6$ .

Tap for more steps...

Step 1.3.1

Factor $9$ out of $54$ .

$x \sqrt{6} + x \sqrt{9 (6)}$

Step 1.3.2

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

$x \sqrt{6} + x \sqrt{3^{2} \cdot 6}$

$x \sqrt{6} + x \sqrt{3^{2} \cdot 6}$

Step 1.4

Pull terms out from under the radical.

$x \sqrt{6} + x (3 \sqrt{6})$

Step 1.5

Move $3$ to the left of $x$ .

$x \sqrt{6} + 3 x \sqrt{6}$

$x \sqrt{6} + 3 x \sqrt{6}$

Step 2

Add $x \sqrt{6}$ and $3 x \sqrt{6}$ .

$4 x \sqrt{6}$

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