Question

Which of the following is the correct notation for the complex number

Answer 1

okay i think the answer is B, because it needs to be (-) 

Answer 2

Answer: The correct option is (A)
`10+6i.`

Step-by-step explanation: We are given to select the correct notation for the following complex number :

`z=√(-36)+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We know that

`√(-1)=i~~~~~\Rightarrow -1=i^2.`

Also, the standard notation of a complex number is given by

`z=a+bi,` where a and b are real numbers.

From (i), we have

`z\\\\=√(-36)+10\\\\=√(36*(-1))+10\\\\=√(36i^2)+10\\\\=6i+10\\\\=10+6i.`

Thus, the correct notation for the given complex number is
`10+6i.`

Option (A) is CORRECT.