Question

What is one of the square roots of $3+4i$, where $i=\sqrt{-1}$?

• A. $2+i$
• B. $2-i$
• C. $-2+i$
• D. $-3-i$

Answer 1

The correct option is A $2+i$

$3+4i=4-1+(2\ast 2\ast i)=2^2+i^2+2\ast 2\ast i={(2+i)}^2$

So one of the square root of $3+4i$ is $2+i$