Question

Write each expression in the form a + bi, where a and b are real numbers.

Answer 1

Answer:

$a) \: 2. \sqrt{ - 4} = 2.2i = 4i = 0 + 4i \\ b) \: 3i.2i = 6 \sqrt{ - 1} \sqrt{ - 1} = - 6 + 0i \\c) \: {i}^{4} = \sqrt{ - 1} .\sqrt{ - 1} .\sqrt{ - 1} .\sqrt{ - 1} \\ = - 1 \times - 1 = 1 + 0i \\ d) \: 4 - 3 \sqrt{ - 1} = 4 - 3i$