Question

Write the complex number `(sqrt3+i )/ (sqrt3-i)` in standard form?

Answer 1

`color(maroon)(=>((sqrt3 + i) / 2)^2`

Explanation:

By rationalising the denominator, we get the standard form.

`(sqrt 3 + i) / (sqrt3 - i)`

Multiply and divide by `(sqrt3 + i)`

`=> (sqrt3 + i)^2 / ((sqrt3-i) * (sqrt3+i))`

`=>(sqrt3 + i)^2 / (3+1)`

`color(indigo)(=>( (sqrt3 + i)/2)^2`