Evaluate -3 square root of 27-3 square root of 27-3 square root of 27

$- 3 \sqrt{27} - 3 \sqrt{27} - 3 \sqrt{27}$

Step 1

Simplify each term.

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$- 3 \sqrt{9 (3)} - 3 \sqrt{27} - 3 \sqrt{27}$

Rewrite $9$ as $3^{2}$ .

$- 3 \sqrt{3^{2} \cdot 3} - 3 \sqrt{27} - 3 \sqrt{27}$

Pull terms out from under the radical.

$- 3 (3 \sqrt{3}) - 3 \sqrt{27} - 3 \sqrt{27}$

Multiply $3$ by $- 3$ .

$- 9 \sqrt{3} - 3 \sqrt{27} - 3 \sqrt{27}$

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$- 9 \sqrt{3} - 3 \sqrt{9 (3)} - 3 \sqrt{27}$

Rewrite $9$ as $3^{2}$ .

$- 9 \sqrt{3} - 3 \sqrt{3^{2} \cdot 3} - 3 \sqrt{27}$

Pull terms out from under the radical.

$- 9 \sqrt{3} - 3 (3 \sqrt{3}) - 3 \sqrt{27}$

Multiply $3$ by $- 3$ .

$- 9 \sqrt{3} - 9 \sqrt{3} - 3 \sqrt{27}$

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$- 9 \sqrt{3} - 9 \sqrt{3} - 3 \sqrt{9 (3)}$

Rewrite $9$ as $3^{2}$ .

$- 9 \sqrt{3} - 9 \sqrt{3} - 3 \sqrt{3^{2} \cdot 3}$

Pull terms out from under the radical.

$- 9 \sqrt{3} - 9 \sqrt{3} - 3 (3 \sqrt{3})$

Multiply $3$ by $- 3$ .

$- 9 \sqrt{3} - 9 \sqrt{3} - 9 \sqrt{3}$

Step 2

Simplify by adding terms.

Subtract $9 \sqrt{3}$ from $- 9 \sqrt{3}$ .

$- 18 \sqrt{3} - 9 \sqrt{3}$

Subtract $9 \sqrt{3}$ from $- 18 \sqrt{3}$ .

$- 27 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 27 \sqrt{3}$

Decimal Form:

$- 46.76537180 \dots$