How can I simplify the expression 7 + 3i^2 + i?

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To simplify the expression 7 + 3i² + i, we need to understand the value of i. In mathematics, i is defined as the imaginary unit, and it is equal to the square root of -1. When simplifying the expression, we will substitute i² with -1 since i² = -1.

Let’s break down the expression step by step:

  1. Start with the given expression: 7 + 3i² + i.
  2. Substitute i² with -1: 7 + 3(-1) + i.
  3. This simplifies to: 7 – 3 + i.
  4. Now, calculate the real numbers: 7 – 3 = 4.
  5. So, we have: 4 + i.

Thus, the simplified form of the expression 7 + 3i² + i is 4 + i.

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