Pre-Algebra Examples

$2 \sqrt{7 x} + 3 \sqrt{63 x}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $63 x$ as $3^{2} \cdot (7 x)$ .

Tap for more steps...

Step 1.1.1

Factor $9$ out of $63$ .

$2 \sqrt{7 x} + 3 \sqrt{9 (7) x}$

Step 1.1.2

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

$2 \sqrt{7 x} + 3 \sqrt{3^{2} \cdot 7 x}$

Step 1.1.3

Add parentheses.

$2 \sqrt{7 x} + 3 \sqrt{3^{2} \cdot (7 x)}$

$2 \sqrt{7 x} + 3 \sqrt{3^{2} \cdot (7 x)}$

Step 1.2

Pull terms out from under the radical.

$2 \sqrt{7 x} + 3 (3 \sqrt{7 x})$

Step 1.3

Multiply $3$ by $3$ .

$2 \sqrt{7 x} + 9 \sqrt{7 x}$

$2 \sqrt{7 x} + 9 \sqrt{7 x}$

Step 2

Add $2 \sqrt{7 x}$ and $9 \sqrt{7 x}$ .

$11 \sqrt{7 x}$

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