Simplify square root of 14*10 square root of 12

$\sqrt{14} \cdot 10 \sqrt{12}$

Rewrite $12$ as $2^{2} \cdot 3$ .

Factor $4$ out of $12$ .

$\sqrt{14} \cdot (10 \sqrt{4 (3)})$

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

$\sqrt{14} \cdot (10 \sqrt{2^{2} \cdot 3})$

$\sqrt{14} \cdot (10 \sqrt{2^{2} \cdot 3})$

Pull terms out from under the radical.

$\sqrt{14} \cdot (10 (2 \sqrt{3}))$

Multiply $2$ by $10$ .

$\sqrt{14} \cdot (20 \sqrt{3})$

Multiply $\sqrt{14} (20 \sqrt{3})$ .

Combine using the product rule for radicals.

$20 \sqrt{14 \cdot 3}$

Multiply $14$ by $3$ .

$20 \sqrt{42}$

$20 \sqrt{42}$

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{42}$

Decimal Form:

$129.61481396 \dots$

Related Questions