Simplify square root of -14* square root of 18

$\sqrt{- 14} \cdot \sqrt{18}$

Rewrite $- 14$ as $- 1 (14)$ .

$\sqrt{- 1 (14)} \cdot \sqrt{18}$

Rewrite $\sqrt{- 1 (14)}$ as $\sqrt{- 1} \cdot \sqrt{14}$ .

$\sqrt{- 1} \cdot \sqrt{14} \cdot \sqrt{18}$

Rewrite $\sqrt{- 1}$ as $i$ .

$i \cdot \sqrt{14} \cdot \sqrt{18}$

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

Factor $9$ out of $18$ .

$i \sqrt{14} \cdot \sqrt{9 (2)}$

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

$i \sqrt{14} \cdot \sqrt{3^{2} \cdot 2}$

Pull terms out from under the radical.

$i \sqrt{14} \cdot (3 \sqrt{2})$

Multiply $i \sqrt{14} (3 \sqrt{2})$ .

Combine using the product rule for radicals.

$i (3 \sqrt{14 \cdot 2})$

Multiply $14$ by $2$ .

$i (3 \sqrt{28})$

Rewrite $28$ as $2^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$i (3 \sqrt{4 (7)})$

Rewrite $4$ as $2^{2}$ .

$i (3 \sqrt{2^{2} \cdot 7})$

Pull terms out from under the radical.

$i (3 (2 \sqrt{7}))$

Simplify the expression.

Multiply $2$ by $3$ .

$i (6 \sqrt{7})$

Move $6$ to the left of $i$ .

$6 i \sqrt{7}$