Solve 200-frac{100sqrt{6}}{3}

$$200- \frac{ 100 \sqrt{ 6 } }{ 3 }$$

Evaluate

$$-\frac{100\sqrt{6}}{3}+200\approx 118.350341907$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 200 times \frac{3}{3}.

$$\frac{200\times 3}{3}-\frac{100\sqrt{6}}{3}$$

Since \frac{200\times 3}{3} and \frac{100\sqrt{6}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200\times 3-100\sqrt{6}}{3}$$

Do the multiplications in 200\times 3-100\sqrt{6}.

$$\frac{600-100\sqrt{6}}{3}$$

Factor

$$\frac{100 \sqrt{6} {(\sqrt{6} - 1)}}{3} = 118.35034190722736$$