Problemas
Perform the operation and write the result in standard form. (Simplify your answer completely.) (sqrt (3)+4i)(sqrt (3)-4i) square se
Roztwór
Víctor
maestro · Tutor durante 5 años
4
(192 Votos)
Respuesta
To perform the operation \((\sqrt{3} + 4i)(\sqrt{3} - 4i)\), we can use the difference of squares formula, which states that \((a + b)(a - b) = a^2 - b^2\).Here,
and
.So, we have:
Now, calculate each term separately:
Since
, we have:
Putting it all together:
Therefore, the result in standard form is: