Solve for x x square root of 3 = square root of 33

$x \sqrt{3} = \sqrt{33}$

Step 1

Divide each term in $x \sqrt{3} = \sqrt{33}$ by $\sqrt{3}$ .

$\frac{x \sqrt{3}}{\sqrt{3}} = \frac{\sqrt{33}}{\sqrt{3}}$

Step 2

Simplify the left side.

Cancel the common factor of $\sqrt{3}$ .

Cancel the common factor.

$\frac{x \sqrt{3}}{\sqrt{3}} = \frac{\sqrt{33}}{\sqrt{3}}$

Divide $x$ by $1$ .

$x = \frac{\sqrt{33}}{\sqrt{3}}$

Step 3

Simplify the right side.

Combine $\sqrt{33}$ and $\sqrt{3}$ into a single radical.

$x = \sqrt{\frac{33}{3}}$

Divide $33$ by $3$ .

$x = \sqrt{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{11}$

Decimal Form:

$x = 3.31662479 \dots$