Question

$\sqrt{8+6i}+\sqrt{8-6i}$

• A. $2(3-i)$
• B. $2(3+i)$
• C. $6$
• D. $2i$

Answer 1

Answer: (C)

$6$

For alternate easier method of
$\sqrt{8+6i}+\sqrt{8-6i}$
Half the coefficient of i is $3$ and its factors are $3,1$ such that $3^2-1^2=8$
$\therefore E=(3+i)+(3-i)=6$
Ans: C