Evaluate square root of 18* square root of 3

$\sqrt{18} \cdot \sqrt{3}$

Step 1

Combine using the product rule for radicals.

$\sqrt{18 \cdot 3}$

Step 2

Multiply $18$ by $3$ .

$\sqrt{54}$

Step 3

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

Factor $9$ out of $54$ .

$\sqrt{9 (6)}$

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

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

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

Step 4

Pull terms out from under the radical.

$3 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{6}$

Decimal Form:

$7.34846922 \dots$

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