Solve -sqrt{27}-sqrt{12}=

$$- \sqrt { 27 } - \sqrt { 12 } =$$

Evaluate

$$-5\sqrt{3}\approx -8.660254038$$

Solution Steps

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

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

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}.

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

Combine -3\sqrt{3} and -2\sqrt{3} to get -5\sqrt{3}.

$$-5\sqrt{3}$$