Simplify square root of 2* square root of 3* square root of 6

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

Combine using the product rule for radicals.

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

Combine using the product rule for radicals.

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

Write the expression using exponents.

Multiply $2$ by $3$ .

$\sqrt{6 \cdot 6}$

Multiply $6$ by $6$ .

$\sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$6$