Solve lambda12/sqrt{2}

$$\frac { \lambda 12 } { \sqrt { 2 } }$$

Evaluate

$$\frac{\sqrt{2}\lambda _{12}}{2}$$

Solution Steps

Rationalize the denominator of \frac{\lambda _{12}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{\lambda _{12}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{\lambda _{12}\sqrt{2}}{2}$$

Differentiate w.r.t. λ_12

$$\frac{\sqrt{2}}{2} = 0.7071067811865476$$