Simplify (3 square root of 8)+(2 square root of 2)

$(3 \sqrt{8}) + (2 \sqrt{2})$

Remove parentheses.

$3 \sqrt{8} + 2 \sqrt{2}$

Simplify each term.

Rewrite $8$ as $2^{2} \cdot 2$ .

Factor $4$ out of $8$ .

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

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

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

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

Pull terms out from under the radical.

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

Multiply $2$ by $3$ .

$6 \sqrt{2} + 2 \sqrt{2}$

$6 \sqrt{2} + 2 \sqrt{2}$

Add $6 \sqrt{2}$ and $2 \sqrt{2}$ .

$8 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2}$

Decimal Form:

$11.31370849 \dots$

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