Question

Simplify the following expression:

√ 16+√ 25 + 5
OA. 14 + 0i
OB. 9-5i
OC. 5+√41i
OD. 5+9i

Answer 1

D. 5 +9i

Explanation:

You want to simplify the expression ...

√(-16) +√(-25) +5

Imaginary numbers

We know that the value of √(-1) is represented by the constant i. This means we can simplify the expression like this:

`√(-16)+√(-25)+5\\\\=√(-1(4^2))+√(-1(5^2))+5\\\\=4i+5i+5\\\\=\boxed{5+9i}\qquad\text{matches choice D}`

<95141404393>