[Video] Q14: What is the sum of the complex numbers 6 + 5i and 8 + 3i^2 ? (note: i = sqrt(-1))

Explanation for Question 14 From the Math (No Calc) Section on the 2019 April Sat

For number 14, we are looking for the sum of the complex numbers, 2 six plus five by and eight plus three. 3 I squared. So just like when adding normal polynomials, 4 you can only combine like terms. 5 So if I write it out six plus five, 6 plus eight plus three, 7 I squared. So since we know I is 8 equal to the square root of negative one, 9 that means if you square both sides, 10 then I squared is going to equal negative one. 11 Now we can plug that in here. 12 So six plus five plus eight plus three 13 times I squared is equal to negative one. 14 So that means I have six plus eight is 14 plus 15 five. I minus three and then 14 minus three 16 is 11. And we still have that five being added. 17 So that means our answer is a 11 plus five. 18 I.

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