Solve 36x2sqrt{72.0}

$$36x2 \sqrt{ 72.0 }$$

Evaluate

$$216\sqrt{2}x_{2}$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$36x_{2}\times 6\sqrt{2}$$

Multiply 36 and 6 to get 216.

$$216x_{2}\sqrt{2}$$

Differentiate w.r.t. x_2

$$216 \sqrt{2} = 305.470129473$$