Solve 7sqrt{-400}+9sqrt{-361}

$$7 \sqrt { - 400 } + 9 \sqrt { - 361 }$$

Evaluate (complex solution)

$$311i$$

Solution Steps

Calculate the square root of -400 and get 20i.

$$7\times \left(20i\right)+9\sqrt{-361}$$

Multiply 7 and 20i to get 140i.

$$140i+9\sqrt{-361}$$

Calculate the square root of -361 and get 19i.

$$140i+9\times \left(19i\right)$$

Multiply 9 and 19i to get 171i.

$$140i+171i$$

Add 140i and 171i to get 311i.

$$311i$$

Real Part (complex solution)

$$0$$

Solution Steps

Calculate the square root of -400 and get 20i.

$$Re(7\times \left(20i\right)+9\sqrt{-361})$$

Multiply 7 and 20i to get 140i.

$$Re(140i+9\sqrt{-361})$$

Calculate the square root of -361 and get 19i.

$$Re(140i+9\times \left(19i\right))$$

Multiply 9 and 19i to get 171i.

$$Re(140i+171i)$$

Add 140i and 171i to get 311i.

$$Re(311i)$$

The real part of 311i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$