Respuesta :
1.75+0.43301270i
hope this helped and let me know if i was right plz
hope this helped and let me know if i was right plz
Answer:
[tex]\frac{7}{4} +\frac{3}{4} i[/tex]
Step-by-step explanation:
[tex](1+2\sqrt{-3} )/(1+\sqrt{-3})[/tex]
To remove the negative sign from square root use 'i'
square root (-1) is 'i'
[tex]\frac{1+2\sqrt{3}i}{1+\sqrt{3}i}[/tex]
Multiply top and bottom by conjugate of [tex](1+\sqrt{3}i)[/tex]
Conjugate of [tex](1+\sqrt{3}i)[/tex] is [tex](1-\sqrt{3}i)[/tex]
Multiply it at the top and bottom
[tex]\frac{1+2\sqrt{3}i}{1+\sqrt{3}i} \cdot \frac{1-\sqrt{3}i}{1-\sqrt{3}i}[/tex]
Multiply numerator and denominator using FOIL method
[tex]\frac{1-\sqrt{3}i+2\sqrt{3}i-3i^2}{1+3}[/tex]
the value of i^2 is -1
[tex]\frac{1+\sqrt{3}i-6(-1)}{4}[/tex]
[tex]\frac{1+\sqrt{3}i+6}{4}[/tex]
[tex]\frac{7+\sqrt{3}i}{4}[/tex]
[tex]\frac{7}{4} +\frac{3}{4} i[/tex]
