Evaluate 5 square root of 54

$5 \sqrt{54}$

Step 1

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

Factor $9$ out of $54$ .

$5 \sqrt{9 (6)}$

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

$5 \sqrt{3^{2} \cdot 6}$

$5 \sqrt{3^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$5 (3 \sqrt{6})$

Step 3

Multiply $3$ by $5$ .

$15 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$15 \sqrt{6}$

Decimal Form:

$36.74234614 \dots$

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