Solve 3xsqrt{1/3}=x

$$3 x \sqrt { \frac { 1 } { 3 } } = x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Rewrite the square root of the division \sqrt{\frac{1}{3}} as the division of square roots \frac{\sqrt{1}}{\sqrt{3}}.

$$3x\times \frac{\sqrt{1}}{\sqrt{3}}=x$$

Calculate the square root of 1 and get 1.

$$3x\times \frac{1}{\sqrt{3}}=x$$

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$3x\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}=x$$

The square of \sqrt{3} is 3.

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

Express 3\times \frac{\sqrt{3}}{3} as a single fraction.

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

Cancel out 3 and 3.

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

Subtract x from both sides.

$$\sqrt{3}x-x=0$$

Combine all terms containing x.

$$\left(\sqrt{3}-1\right)x=0$$

Divide 0 by \sqrt{3}-1.

$$x=0$$