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

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

Step 1

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

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

Step 2

Reduce the expression by cancelling the common factors.

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

Cancel the common factor.

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

Rewrite the expression.

$2 \sqrt{\frac{3}{1}}$

Divide $3$ by $1$ .

$2 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{3}$

Decimal Form:

$3.46410161 \dots$