Solve sqrt{8}x/1/2+sqrt{3}

$$\sqrt { 8 } x / \frac { 1 } { 2 } + \sqrt { 3 }$$

Evaluate

$$4\sqrt{2}x+\sqrt{3}$$

Solution Steps

Divide \sqrt{8}x by \frac{1}{2} by multiplying \sqrt{8}x by the reciprocal of \frac{1}{2}.

$$\sqrt{8}x\times 2+\sqrt{3}$$

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}.

$$2\sqrt{2}x\times 2+\sqrt{3}$$

Multiply 2 and 2 to get 4.

$$4\sqrt{2}x+\sqrt{3}$$

Differentiate w.r.t. x

$$4 \sqrt{2} = 5.656854249$$