Solve -3sqrt{3}+3sqrt{12}

$$- 3 \sqrt { 3 } + 3 \sqrt { 12 }$$

Evaluate

$$3\sqrt{3}\approx 5.196152423$$

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}.

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

Multiply 3 and 2 to get 6.

$$-3\sqrt{3}+6\sqrt{3}$$

Combine -3\sqrt{3} and 6\sqrt{3} to get 3\sqrt{3}.

$$3\sqrt{3}$$