Evaluate square root of 3 square root of 6

$\sqrt{3} \sqrt{6}$

Step 1

Combine using the product rule for radicals.

$\sqrt{3 \cdot 6}$

Step 2

Multiply $3$ by $6$ .

$\sqrt{18}$

Step 3

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

Factor $9$ out of $18$ .

$\sqrt{9 (2)}$

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

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

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

Step 4

Pull terms out from under the radical.

$3 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2}$

Decimal Form:

$4.24264068 \dots$

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