Simplify square root of 3x^2*4 square root of 10x^2

$\sqrt{3 x^{2}} \cdot 4 \sqrt{10 x^{2}}$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$4 \sqrt{3 x^{2}} \sqrt{10 x^{2}}$

Reorder $3$ and $x^{2}$ .

$4 \sqrt{x^{2} \cdot 3} \sqrt{10 x^{2}}$

Pull terms out from under the radical.

$4 (x \sqrt{3}) \sqrt{10 x^{2}}$

Reorder $10$ and $x^{2}$ .

$4 x \sqrt{3} \sqrt{x^{2} \cdot 10}$

Pull terms out from under the radical.

$4 x \sqrt{3} (x \sqrt{10})$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

$4 x^{2} \sqrt{3} \sqrt{10}$

Multiply $4 x^{2} \sqrt{3} \sqrt{10}$ .

Combine using the product rule for radicals.

$4 x^{2} \sqrt{10 \cdot 3}$

Multiply $10$ by $3$ .

$4 x^{2} \sqrt{30}$