Question

Simplify square root of -9 + square root of -25 - square root of -5

Answer 1

`(8-√(5))i\\`

Explanation:

For the following, i is the imaginary number, i =
`√(-1)`

`√(-9) = √(-1)√(9) = 3√(-1)= 3i`

`√(-25) = √(-1)√(25) = 5√(-1) = 5i`

`√(-5)=√(-1)√(5) = √(5)i`

`√(-9)+√(-25)-√(-5)\\\\= 3i + 5i - √(5)i\\\\=8i - √(5)i\\\\\\\\= (8-√(5))i\\`