Calculus Examples

$13 \sqrt{40} + 6 \sqrt{10}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $40$ as $2^{2} \cdot 10$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $40$ .

$13 \sqrt{4 (10)} + 6 \sqrt{10}$

Step 1.1.2

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

$13 \sqrt{2^{2} \cdot 10} + 6 \sqrt{10}$

$13 \sqrt{2^{2} \cdot 10} + 6 \sqrt{10}$

Step 1.2

Pull terms out from under the radical.

$13 (2 \sqrt{10}) + 6 \sqrt{10}$

Step 1.3

Multiply $2$ by $13$ .

$26 \sqrt{10} + 6 \sqrt{10}$

$26 \sqrt{10} + 6 \sqrt{10}$

Step 2

Add $26 \sqrt{10}$ and $6 \sqrt{10}$ .

$32 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$32 \sqrt{10}$

Decimal Form:

$101.19288512 \dots$

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