Evaluate -3 square root of 54

$- 3 \sqrt{54}$

Rewrite $54$ as $3^{2} \cdot 6$ .

Factor $9$ out of $54$ .

$- 3 \sqrt{9 (6)}$

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

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

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

Pull terms out from under the radical.

$- 3 (3 \sqrt{6})$

Multiply $3$ by $- 3$ .

$- 9 \sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$- 9 \sqrt{6}$

Decimal Form:

$- 22.04540768 \dots$

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