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Simplify negative 5 minus the square root of negative 44

A negative 5 minus 4 times the square root of 11 i
B negative 5 minus 4 i times the square root of 11
C negative 5 minus 2 i times the square root of 11
D negative 5 minus 2 times the square root of 11 i

Respuesta :

It should be c, because you are able to factor out 2 from it and you’d still have 11 in the radical. Because it’s negative you put the i after the 2 you factored out and cause it’s -5 and then a minus you just leave it.

Answer:

Option C.

Step-by-step explanation:

Negative 5 represents (-5)

Square root of negative 44 is [tex]\sqrt{(-44)}[/tex]

By the statement "negative 5 minus the square root of negative 44." will be

(-5) - [tex]\sqrt{(-44)}[/tex]

= -5 -[tex]\sqrt{(-1)(44)}[/tex]

= [tex]-5-\sqrt{(-1)(4\times11)}[/tex]

= [tex]-5-2\sqrt{11(-1)}[/tex]

= [tex]-5-2(\sqrt{11} )[\sqrt{(-1)} ][/tex]

= [tex]-5-2i\sqrt{11}[since\sqrt{(-1)=i}][/tex]

Option c will be the answer.