Question

ASAP! Simplify -5 - square root -44

A. -5-4 square root 11i
B. -5-4i square root 11
C. -5-2i square root 11
D. -5-2 square root 11i

Answer 1

`\boldmath-5-2i√(\boldmath11)`

Explanation:

The not simplified form is
`-5-√(-44)`

you know that
`√(a* b) = √(a) *√(b)` is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So,
`√(-44) = √(-1*4*11)=√(-1)*√(4)*√(11)=i*2*√(11)` (
`√(4)=2`)

`\therefore -5-√(-44) = -5-2i√(11)`

(NOTE : You must know that
`\boldmath√(\boldmath-1)` is written as
`\boldsymbol i` )