Question

200
200
What is the value of
i+√3
-i + √3
+
i-√3
i + 3
+1?​

Answer 1

Answer:

$(i + \sqrt{3})( - i + \sqrt{3}) + (i - \sqrt{3})(i + \sqrt{3}) + 1 \\ = - {i}^{2} + i \sqrt{3} - i \sqrt{3} + \sqrt{3} \times \sqrt{3} + {i}^{2} + i \sqrt{3} - i \sqrt{3} - \sqrt{3} \times \sqrt{3} + 1 \\ = - ( - 1) + 3 + ( - 1) - 3 + 1 \\ = 1 + 3 - 1 - 3 + 1 \\ = 5 - 4 \\ = 1$

Step-by-step explanation:

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