Basic Math Examples

$2^{4} \cdot (5 + \sqrt{\frac{36}{3}})$

Step 1

Raise $2$ to the power of $4$ .

$16 \cdot (5 + \sqrt{\frac{36}{3}})$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Divide $36$ by $3$ .

$16 \cdot (5 + \sqrt{12})$

Step 2.2

Rewrite $12$ as $2^{2} \cdot 3$ .

Tap for more steps...

Step 2.2.1

Factor $4$ out of $12$ .

$16 \cdot (5 + \sqrt{4 (3)})$

Step 2.2.2

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

$16 \cdot (5 + \sqrt{2^{2} \cdot 3})$

$16 \cdot (5 + \sqrt{2^{2} \cdot 3})$

Step 2.3

Pull terms out from under the radical.

$16 \cdot (5 + 2 \sqrt{3})$

$16 \cdot (5 + 2 \sqrt{3})$

Step 3

Simplify by multiplying through.

Tap for more steps...

Step 3.1

Apply the distributive property.

$16 \cdot 5 + 16 (2 \sqrt{3})$

Step 3.2

Multiply.

Tap for more steps...

Step 3.2.1

Multiply $16$ by $5$ .

$80 + 16 (2 \sqrt{3})$

Step 3.2.2

Multiply $2$ by $16$ .

$80 + 32 \sqrt{3}$

$80 + 32 \sqrt{3}$

$80 + 32 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$80 + 32 \sqrt{3}$

Decimal Form:

$135.42562584 \dots$

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