Solve -9/10sqrt{1200}

$$- \frac{ 9 }{ 10 } \sqrt{ 1200 }$$

Evaluate

$$-18\sqrt{3}\approx -31.176914536$$

Solution Steps

Factor 1200=20^{2}\times 3. Rewrite the square root of the product \sqrt{20^{2}\times 3} as the product of square roots \sqrt{20^{2}}\sqrt{3}. Take the square root of 20^{2}.

$$-\frac{9}{10}\times 20\sqrt{3}$$

Express -\frac{9}{10}\times 20 as a single fraction.

$$\frac{-9\times 20}{10}\sqrt{3}$$

Multiply -9 and 20 to get -180.

$$\frac{-180}{10}\sqrt{3}$$

Divide -180 by 10 to get -18.

$$-18\sqrt{3}$$