Solve 50^2+110^2-11000*frac{sqrt{3}}{2}

$${ 50 }^{ 2 } + { 110 }^{ 2 } -11000 \times \frac{ \sqrt{ 3 } }{ 2 }$$

Evaluate

$$14600-5500\sqrt{3}\approx 5073.720558371$$

Solution Steps

Calculate 50 to the power of 2 and get 2500.

$$2500+110^{2}-11000\times \frac{\sqrt{3}}{2}$$

Calculate 110 to the power of 2 and get 12100.

$$2500+12100-11000\times \frac{\sqrt{3}}{2}$$

Add 2500 and 12100 to get 14600.

$$14600-11000\times \frac{\sqrt{3}}{2}$$

Cancel out 2, the greatest common factor in 11000 and 2.

$$14600-5500\sqrt{3}$$

Factor

$$100 {(146 - 55 \sqrt{3})} = 5073.720558371$$