Evaluate -3 square root of 3- square root of 8-3 square root of 3

$- 3 \sqrt{3} - \sqrt{8} - 3 \sqrt{3}$

Simplify each term.

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

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Factor $4$ out of $8$ .

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

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

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

Pull terms out from under the radical.

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

Multiply $2$ by $- 1$ .

$- 3 \sqrt{3} - 2 \sqrt{2} - 3 \sqrt{3}$

Subtract $3 \sqrt{3}$ from $- 3 \sqrt{3}$ .

$- 6 \sqrt{3} - 2 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$- 6 \sqrt{3} - 2 \sqrt{2}$

Decimal Form:

$- 13.22073197 \dots$

Evaluate -3 square root of 3- square root of 8-3 square root of 3

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