Question

Simplify the expression (square root 3+i)(square root 3-i) and write the result in the form a+bi

a. 2
b. 2i
c. square root 3+i
d. 4

Answer 1

d. 4

Explanation:

(a - bi)(a + bi) = a² + b²

(square root 3+i)(square root 3-i)

[(sqrt(3))³ + 1²]

3 + 1

4