Simplify ( square root of 6x)/( square root of 3x)

$\frac{\sqrt{6 x}}{\sqrt{3 x}}$

Step 1

Combine $\sqrt{6 x}$ and $\sqrt{3 x}$ into a single radical.

$\sqrt{\frac{6 x}{3 x}}$

Step 2

Reduce the expression $\frac{6 x}{3 x}$ by cancelling the common factors.

Factor $3$ out of $6 x$ .

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

Factor $3$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

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

Divide $2$ by $1$ .

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$