Evaluate 5 square root of 18

$5 \sqrt{18}$

Step 1

Rewrite $18$ as $3^{2} \cdot 2$ .

Factor $9$ out of $18$ .

$5 \sqrt{9 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$5 (3 \sqrt{2})$

Step 3

Multiply $3$ by $5$ .

$15 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$15 \sqrt{2}$

Decimal Form:

$21.21320343 \dots$

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