Solve 0.15xsqrt{8}

$$0.15x \sqrt{ 8 }$$

Evaluate

$$\frac{3\sqrt{2}x}{10}$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$0.15x\times 2\sqrt{2}$$

Multiply 0.15 and 2 to get 0.3.

$$0.3x\sqrt{2}$$

Differentiate w.r.t. x

$$\frac{3 \sqrt{2}}{10} = 0.42426406871192857$$