Question

What is the complex number for a + bi where a and b are real numbers when you evaluate 3⋅(3+20i)?

Answer 1

To find the complex number for 3⋅(3+20i), multiply the real part and the imaginary part separately by 3, resulting in the complex number 9 + 60i.

Step-by-step explanation:

The question asks to evaluate the expression 3⋅(3+20i) where i is the imaginary unit. To evaluate this expression, we multiply the complex number (3+20i) by 3. Performing the multiplication, we have:

3 x (3) + 3 x (20i) = 9 + 60i.

This gives us a complex number where the real part, a, is 9, and the imaginary part, b, is 60. Therefore, the complex number for a + bi when you evaluate 3⋅(3+20i) is 9 + 60i.