Question

Please help

simplify the following write your answer as a complex number in standard form

1 through 6​

Answer 1

`$ √(-1) = i $`

Explanation:

(1)
`$ √(-100) $`

`$ = √(100).i = 10i $`

(1) - 10i

(2)
`$ -2√(50) $`

`$ = -2√(50)  = -2(5) √(2) = -10√(2) $`

(2) - -10√2

(3)
`$ 5 + √(-13) $`

`$ \implies 5 + √(13)i $`

(3) - 5 + √13i

(4)
`$ 5 + √(-120) $`

`$ = 5 + √(120)i = 5 + 2√(30)i$`

(4) - 5 + 2√30i

(5)
`$ -10 +  √(-50) $`

`$ = -10 + 5√(2) i $`

(5) - -10 + 5√2i

(6) -
`$ √(-45) $`

`$ 3√(5)i $`

(6) - 3√5i