Solve sqrt{3}+frac{sqrt{3}}{3}=2*frac{2sqrt{3}}{3}

$$\sqrt{ 3 } + \frac{ \sqrt{ 3 } }{ 3 } =2 \times \frac{ 2 \sqrt{ 3 } }{ 3 }$$

Verify

Solution Steps

Multiply both sides of the equation by 3.

$$3\sqrt{3}+\sqrt{3}=2\times 2\sqrt{3}$$

Combine 3\sqrt{3} and \sqrt{3} to get 4\sqrt{3}.

$$4\sqrt{3}=2\times 2\sqrt{3}$$

Multiply 2 and 2 to get 4.

$$4\sqrt{3}=4\sqrt{3}$$

Subtract 4\sqrt{3} from both sides.

$$4\sqrt{3}-4\sqrt{3}=0$$

Combine 4\sqrt{3} and -4\sqrt{3} to get 0.

$$0=0$$

Compare 0 and 0.

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