Simplify ( square root of 12x^2)/( square root of 3)

$\frac{\sqrt{12 x^{2}}}{\sqrt{3}}$

Step 1

Combine $\sqrt{12 x^{2}}$ and $\sqrt{3}$ into a single radical.

$\sqrt{\frac{12 x^{2}}{3}}$

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{12 x^{2}}{3}$ by cancelling the common factors.

Factor $3$ out of $12 x^{2}$ .

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

Factor $3$ out of $3$ .

$\sqrt{\frac{3 (4 x^{2})}{3 (1)}}$

Cancel the common factor.

$\sqrt{\frac{3 (4 x^{2})}{3 \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{4 x^{2}}{1}}$

Divide $4 x^{2}$ by $1$ .

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

Step 3

Rewrite $4 x^{2}$ as ${(2 x)}^{2}$ .

$\sqrt{{(2 x)}^{2}}$

Step 4

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

$2 x$