Solve (2+sqrt{-4})-(3-sqrt{-9})

$$(2+ \sqrt{ -4 } )-(3- \sqrt{ -9 } )$$

Evaluate (complex solution)

$$-1+5i$$

Solution Steps

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

$$2+2i-\left(3-\sqrt{-9}\right)$$

Calculate the square root of -9 and get 3i.

$$2+2i-\left(3-3i\right)$$

Subtract 3-3i from 2+2i by subtracting corresponding real and imaginary parts.

$$2-3+\left(2-\left(-3\right)\right)i$$

Subtract 3 from 2. Subtract -3 from 2.

$$-1+5i$$

Real Part (complex solution)

$$-1$$

Solution Steps

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

$$Re(2+2i-\left(3-\sqrt{-9}\right))$$

Calculate the square root of -9 and get 3i.

$$Re(2+2i-\left(3-3i\right))$$

Subtract 3-3i from 2+2i by subtracting corresponding real and imaginary parts.

$$Re(2-3+\left(2-\left(-3\right)\right)i)$$

Subtract 3 from 2. Subtract -3 from 2.

$$Re(-1+5i)$$

The real part of -1+5i is -1.

$$-1$$

Evaluate

$$\text{Indeterminate}$$