Multiply and Simplify the Product 2i and 5i. Select the Product.

To multiply the complex numbers 2i and 5i, we follow the basic rules of multiplication.

First, multiply the coefficients and the imaginary unit separately:

  • Coefficients: 2 * 5 = 10
  • Imaginary units: i * i = i²

Now, we know that i² is equal to -1. Therefore, we can substitute:

10 * i² = 10 * -1 = -10

So, the product of 2i and 5i simplifies to -10.

In conclusion, when multiplying 2i and 5i, the final answer is -10.

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