Solve (sqrt{3}+sqrt{2}i)-(sqrt{3}-sqrt{2})

$$( \sqrt { 3 } + \sqrt { 2 } i ) - ( \sqrt { 3 } - \sqrt { 2 } )$$

Evaluate

$$\sqrt{2}\left(1+i\right)\approx 1.414213562+1.414213562i$$

Solution Steps

To find the opposite of \sqrt{3}-\sqrt{2}, find the opposite of each term.

$$\sqrt{3}+i\sqrt{2}-\sqrt{3}-\left(-\sqrt{2}\right)$$

Combine \sqrt{3} and -\sqrt{3} to get 0.

$$i\sqrt{2}-\left(-\sqrt{2}\right)$$

The opposite of -\sqrt{2} is \sqrt{2}.

$$i\sqrt{2}+\sqrt{2}$$

Combine i\sqrt{2} and \sqrt{2} to get \left(1+i\right)\sqrt{2}.

$$\left(1+i\right)\sqrt{2}$$

Real Part

$$\sqrt{2} = 1.414213562$$