DanielAcedo
How do I simplify the expression 4+√4+i
i being an imaginary number.



This Question is Closed

LogicalApple
Best Response
You've already chosen the best response.
1
Is that
\[4 + \sqrt{4} + i\]
or
\[4 + \sqrt{4 + i}\]

DanielAcedo
Best Response
You've already chosen the best response.
0
The first one

LogicalApple
Best Response
You've already chosen the best response.
1
Oh ok, thank you.
Would you agree that
\[\sqrt{4} = \sqrt{(1)(4)} = \sqrt{1} * \sqrt{4}\]

DanielAcedo
Best Response
You've already chosen the best response.
0
Yes

LogicalApple
Best Response
You've already chosen the best response.
1
And \[\sqrt{1} = i\]

DanielAcedo
Best Response
You've already chosen the best response.
0
Yes, isnt also i^2 1

LogicalApple
Best Response
You've already chosen the best response.
1
That is true as well

LogicalApple
Best Response
You've already chosen the best response.
1
So we see how
\[\sqrt{4} = \sqrt{1} * \sqrt{4} = i * 2 = 2i\]

DanielAcedo
Best Response
You've already chosen the best response.
0
Ohh I see

DanielAcedo
Best Response
You've already chosen the best response.
0
So would my answer be 4+3i ?

LogicalApple
Best Response
You've already chosen the best response.
1
Yes, that is right

DanielAcedo
Best Response
You've already chosen the best response.
0
Oh Ok, Thank you!