Solve frac{5+isqrt{-4}}{2*1}

$$\frac{ 5+i \sqrt{ -4 } }{ 2 \cdot 1 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate the square root of -4 and get 2i.

$$\frac{5+i\times \left(2i\right)}{2\times 1}$$

Multiply i and 2i to get -2.

$$\frac{5-2}{2\times 1}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{2\times 1}$$

Multiply 2 and 1 to get 2.

$$\frac{3}{2}$$

Real Part

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$

Solution Steps

Calculate the square root of -4 and get 2i.

$$Re(\frac{5+i\times \left(2i\right)}{2\times 1})$$

Multiply i and 2i to get -2.

$$Re(\frac{5-2}{2\times 1})$$

Subtract 2 from 5 to get 3.

$$Re(\frac{3}{2\times 1})$$

Multiply 2 and 1 to get 2.

$$Re(\frac{3}{2})$$

The real part of \frac{3}{2} is \frac{3}{2}.

$$\frac{3}{2}$$