Algebra Examples

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

Step 1

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

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

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

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

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Step 2.1.1

Factor $3$ out of $6 x$ .

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

Step 2.1.2

Factor $3$ out of $3$ .

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

Step 2.1.3

Cancel the common factor.

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

Step 2.1.4

Rewrite the expression.

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

Step 2.2

Divide $2 x$ by $1$ .

$\sqrt{2 x}$