Basic Math Examples

$\sqrt{8 \cdot \sqrt{3}}$

Step 1

Rewrite $8 \cdot \sqrt{3}$ as $2^{2} \cdot (2 \cdot \sqrt{3})$ .

Tap for more steps...

Step 1.1

Factor $4$ out of $8$ .

$\sqrt{4 (2) \cdot \sqrt{3}}$

Step 1.2

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

$\sqrt{2^{2} \cdot 2 \cdot \sqrt{3}}$

Step 1.3

Add parentheses.

$\sqrt{2^{2} \cdot (2 \cdot \sqrt{3})}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{2 \cdot \sqrt{3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2 \cdot \sqrt{3}}$

Decimal Form:

$3.72241943 \dots$