Simplify 2 square root of 48

$2 \sqrt{48}$

Step 1

Rewrite $48$ as $4^{2} \cdot 3$ .

Factor $16$ out of $48$ .

$2 \sqrt{16 (3)}$

Rewrite $16$ as $4^{2}$ .

$2 \sqrt{4^{2} \cdot 3}$

$2 \sqrt{4^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$2 (4 \sqrt{3})$

Step 3

Multiply $4$ by $2$ .

$8 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3}$

Decimal Form:

$13.85640646 \dots$

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