Solve -frac{sqrt{3}}{9}*81+2/3sqrt{3}*(-9)+3sqrt{3}

$$- \frac { \sqrt { 3 } } { 9 } \times 81 + \frac { 2 } { 3 } \sqrt { 3 } \times ( - 9 ) + 3 \sqrt { 3 }$$

Evaluate

$$-12\sqrt{3}\approx -20.784609691$$

Solution Steps

Cancel out 9, the greatest common factor in 81 and 9.

$$-9\sqrt{3}+\frac{2}{3}\sqrt{3}\left(-9\right)+3\sqrt{3}$$

Express \frac{2}{3}\left(-9\right) as a single fraction.

$$-9\sqrt{3}+\frac{2\left(-9\right)}{3}\sqrt{3}+3\sqrt{3}$$

Multiply 2 and -9 to get -18.

$$-9\sqrt{3}+\frac{-18}{3}\sqrt{3}+3\sqrt{3}$$

Divide -18 by 3 to get -6.

$$-9\sqrt{3}-6\sqrt{3}+3\sqrt{3}$$

Combine -9\sqrt{3} and -6\sqrt{3} to get -15\sqrt{3}.

$$-15\sqrt{3}+3\sqrt{3}$$

Combine -15\sqrt{3} and 3\sqrt{3} to get -12\sqrt{3}.

$$-12\sqrt{3}$$