Solve 58^2*(x+122sqrt{3})div3*2

$${ 58 }^{ 2 } \times (x+122 \sqrt{ 3 } ) \div 3 \times 2$$

Evaluate

$$\frac{6728\left(x+122\sqrt{3}\right)}{3}$$

Solution Steps

Calculate 58 to the power of 2 and get 3364.

$$2\times \frac{3364\left(x+122\sqrt{3}\right)}{3}$$

Express 2\times \frac{3364\left(x+122\sqrt{3}\right)}{3} as a single fraction.

$$\frac{2\times 3364\left(x+122\sqrt{3}\right)}{3}$$

Multiply 2 and 3364 to get 6728.

$$\frac{6728\left(x+122\sqrt{3}\right)}{3}$$

Use the distributive property to multiply 6728 by x+122\sqrt{3}.

$$\frac{6728x+820816\sqrt{3}}{3}$$

Differentiate w.r.t. x

$$\frac{6728}{3} = 2242\frac{2}{3} = 2242.6666666666665$$