Solve =-1/sqrt{2}*0+sqrt{8}

$$= - \frac { 1 } { \sqrt { 2 } } \cdot 0 + \sqrt { 8 }$$

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$0\left(-\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\right)+\sqrt{8}$$

The square of \sqrt{2} is 2.

$$0\left(-\frac{\sqrt{2}}{2}\right)+\sqrt{8}$$

Anything times zero gives zero.

$$0+\sqrt{8}$$

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}.

$$0+2\sqrt{2}$$

Anything plus zero gives itself.

$$2\sqrt{2}$$