Solve -sqrt{12}-4sqrt{27}

$$- \sqrt { 12 } - 4 \sqrt { 27 }$$

Evaluate

$$-14\sqrt{3}\approx -24.248711306$$

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}.

$$-2\sqrt{3}-4\sqrt{27}$$

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}.

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

Multiply -4 and 3 to get -12.

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

Combine -2\sqrt{3} and -12\sqrt{3} to get -14\sqrt{3}.

$$-14\sqrt{3}$$