Question

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

Answer 1

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 2

Option C.

Explanation:

Negative 5 represents (-5)

Square root of negative 44 is
`√((-44))`

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

(-5) -
`√((-44))`

= -5 -
`√((-1)(44))`

=
`-5-√((-1)(4*11))`

=
`-5-2√(11(-1))`

=
`-5-2(√(11) )[√((-1)) ]`

=
`-5-2i√(11)[since√((-1)=i)]`

Option c will be the answer.