Solve 1200xsqrt{524}

$$1200x \sqrt{ 524 }$$

Evaluate

$$2400\sqrt{131}x$$

Solution Steps

Factor 524=2^{2}\times 131. Rewrite the square root of the product \sqrt{2^{2}\times 131} as the product of square roots \sqrt{2^{2}}\sqrt{131}. Take the square root of 2^{2}.

$$1200x\times 2\sqrt{131}$$

Multiply 1200 and 2 to get 2400.

$$2400x\sqrt{131}$$

Differentiate w.r.t. x

$$2400 \sqrt{131} = 27469.255541423$$