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Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.\newlineβ€Ύ\underline{\hspace{1cm}}\newline

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Add and subtract complex numbersright chevron icon

Full solution

Q. Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.\newlineβ€Ύ\underline{\hspace{1cm}}\newline
  1. Combine Imaginary Terms: Since both terms are imaginary and have the imaginary unit ii, we can combine them by adding their coefficients.\newlineCalculation: 8i+6i=(8+6)i=14i8i + 6i = (8 + 6)i = 14i
  2. Write Final Answer: The expression is now simplified, and we can write the final answer in the form a+b𝑖a + b𝑖, where aa is the real part and bb is the imaginary part.\newlineSince there is no real part in the expression, a=0a = 0.\newlineTherefore, the final answer is 0+14𝑖0 + 14𝑖.

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