Solve sqrt{12}=2sqrt{3}

$$\sqrt { 12 } = 2 \sqrt { 3 }$$

Verify

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

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

Subtract 2\sqrt{3} from both sides.

$$2\sqrt{3}-2\sqrt{3}=0$$

Combine 2\sqrt{3} and -2\sqrt{3} to get 0.

$$0=0$$

Compare 0 and 0.

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