Solve 3sqrt{2}-2sqrt{12}

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

Evaluate

$$\sqrt{3}\left(\sqrt{6}-4\right)\approx -2.685562543$$

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}.

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

Multiply -2 and 2 to get -4.

$$3\sqrt{2}-4\sqrt{3}$$