Answer:
[tex]$ \sqrt{-1} = i $[/tex]
Step-by-step explanation:
(1) [tex]$ \sqrt{-100} $[/tex]
[tex]$ = \sqrt{100}.i = 10i $[/tex]
(1) - 10i
(2) [tex]$ -2\sqrt{50} $[/tex]
[tex]$ = -2\sqrt{50} = -2(5) \sqrt{2} = -10\sqrt{2} $[/tex]
(2) - -10√2
(3) [tex]$ 5 + \sqrt{-13} $[/tex]
[tex]$ \implies 5 + \sqrt{13}i $[/tex]
(3) - 5 + √13i
(4) [tex]$ 5 + \sqrt{-120} $[/tex]
[tex]$ = 5 + \sqrt{120}i = 5 + 2\sqrt{30}i$[/tex]
(4) - 5 + 2√30i
(5) [tex]$ -10 + \sqrt{-50} $[/tex]
[tex]$ = -10 + 5\sqrt{2} i $[/tex]
(5) - -10 + 5√2i
(6) - [tex]$ \sqrt{-45} $[/tex]
[tex]$ 3\sqrt{5}i $[/tex]
(6) - 3√5i
