Solve x^2+sqrt{2}-sqrt{8}

$$x ^ { 2 } + \sqrt { 2 } - \sqrt { 8 }$$

Evaluate

$$x^{2}-\sqrt{2}$$

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}.

$$x^{2}+\sqrt{2}-2\sqrt{2}$$

Combine \sqrt{2} and -2\sqrt{2} to get -\sqrt{2}.

$$x^{2}-\sqrt{2}$$

Differentiate w.r.t. x

$$2x$$